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234352880730 = 23256776950539
BaseRepresentation
bin1101101001000010000…
…1010010110001011010
3211101220110021211200100
43122100201102301122
512314423314140410
6255354335320230
722634324422143
oct3322041226132
9741813254610
10234352880730
1190430100a21
1239504380076
131913a45a137
14b4b269aaca
1561692ca8c0
hex3690852c5a

234352880730 has 96 divisors (see below), whose sum is σ = 619228209600. Its totient is φ = 61480083456.

The previous prime is 234352880701. The next prime is 234352880737. The reversal of 234352880730 is 37088253432.

234352880730 is a `hidden beast` number, since 2 + 3 + 43 + 528 + 80 + 7 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (234352880737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4611801 + ... + 4662339.

It is an arithmetic number, because the mean of its divisors is an integer number (6450293850).

Almost surely, 2234352880730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234352880730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309614104800).

234352880730 is an abundant number, since it is smaller than the sum of its proper divisors (384875328870).

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

234352880730 is a wasteful number, since it uses less digits than its factorization.

234352880730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51388 (or 51385 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 234352880730 in words is "two hundred thirty-four billion, three hundred fifty-two million, eight hundred eighty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 769 1005 1206 1538 2010 2307 3015 3845 4614 6030 6921 7690 11535 13842 23070 34605 50539 51523 69210 101078 103046 151617 154569 252695 257615 303234 309138 454851 463707 505390 515230 758085 772845 909702 927414 1516170 1545690 2274255 2318535 3386113 4548510 4637070 6772226 10158339 16930565 20316678 30475017 33861130 38864491 50791695 60950034 77728982 101583390 116593473 152375085 194322455 233186946 304750170 349780419 388644910 582967365 699560838 1165934730 1748902095 2603920897 3497804190 5207841794 7811762691 13019604485 15623525382 23435288073 26039208970 39058813455 46870576146 78117626910 117176440365 234352880730