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323133138 = 23529101227
BaseRepresentation
bin10011010000101…
…001111011010010
3211112000212100000
4103100221323102
51130210230023
652021510430
711002405056
oct2320517322
9745025300
10323133138
11156444789
1290272416
1351c3a353
1430cb5c66
151d57d243
hex13429ed2

323133138 has 96 divisors (see below), whose sum is σ = 761866560. Its totient is φ = 102513600.

The previous prime is 323133137. The next prime is 323133149. The reversal of 323133138 is 831331323.

323133138 is a `hidden beast` number, since 32 + 313 + 313 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (323133137) 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, 1423381 + ... + 1423607.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2323133138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323133138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380933280).

323133138 is an abundant number, since it is smaller than the sum of its proper divisors (438733422).

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

323133138 is a wasteful number, since it uses less digits than its factorization.

323133138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 323133138 is about 17975.9043722423. The cubic root of 323133138 is about 686.2154618468.

The spelling of 323133138 in words is "three hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 101 162 174 202 227 243 261 303 454 486 522 606 681 783 909 1362 1566 1818 2043 2349 2727 2929 4086 4698 5454 5858 6129 6583 7047 8181 8787 12258 13166 14094 16362 17574 18387 19749 22927 24543 26361 36774 39498 45854 49086 52722 55161 59247 68781 79083 110322 118494 137562 158166 177741 206343 237249 355482 412686 474498 533223 619029 664883 711747 1066446 1238058 1329766 1423494 1599669 1857087 1994649 3199338 3714174 3989298 5571261 5983947 11142522 11967894 17951841 35903682 53855523 107711046 161566569 323133138