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234307389096 = 233411233141079
BaseRepresentation
bin1101101000110111001…
…1110000011010101000
3211101210021200121220000
43122031303300122220
512314330142422341
6255350032303000
722633232642364
oct3321563603250
9741707617800
10234307389096
119040745a430
12394b10a1a60
1319130bbcb01
14b4aa6182a4
1561652e18b6
hex368dcf06a8

234307389096 has 160 divisors (see below), whose sum is σ = 719017041600. Its totient is φ = 70697007360.

The previous prime is 234307389091. The next prime is 234307389103. The reversal of 234307389096 is 690983703432.

234307389096 is a `hidden beast` number, since 2 + 3 + 430 + 7 + 38 + 90 + 96 = 666.

234307389096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (234307389091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1590285 + ... + 1731363.

It is an arithmetic number, because the mean of its divisors is an integer number (4493856510).

Almost surely, 2234307389096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234307389096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359508520800).

234307389096 is an abundant number, since it is smaller than the sum of its proper divisors (484709652504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234307389096 is a wasteful number, since it uses less digits than its factorization.

234307389096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141341 (or 141328 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 234307389096 in words is "two hundred thirty-four billion, three hundred seven million, three hundred eighty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 233 264 297 324 396 466 594 648 699 792 891 932 1188 1398 1782 1864 2097 2376 2563 2796 3564 4194 5126 5592 6291 7128 7689 8388 10252 12582 15378 16776 18873 20504 23067 25164 30756 37746 46134 50328 61512 69201 75492 92268 138402 141079 150984 184536 207603 276804 282158 415206 423237 553608 564316 830412 846474 1128632 1269711 1551869 1660824 1692948 2539422 3103738 3385896 3809133 4655607 5078844 6207476 7618266 9311214 10157688 11427399 12414952 13966821 15236532 18622428 22854798 27933642 30473064 32871407 37244856 41900463 45709596 55867284 65742814 83800926 91419192 98614221 111734568 125701389 131485628 167601852 197228442 251402778 262971256 295842663 335203704 361585477 394456884 502805556 591685326 723170954 788913768 887527989 1005611112 1084756431 1183370652 1446341908 1775055978 2169512862 2366741304 2662583967 2892683816 3254269293 3550111956 4339025724 5325167934 6508538586 7100223912 8678051448 9762807879 10650335868 13017077172 19525615758 21300671736 26034154344 29288423637 39051231516 58576847274 78102463032 117153694548 234307389096