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34054310232 = 23322323518747
BaseRepresentation
bin11111101101110010…
…111000100101011000
310020220022012012110100
4133231302320211120
51024220400411412
623351102015400
72313616601205
oct375562704530
9106808165410
1034054310232
1113495852348
126724877560
133299320a37
141910a98cac
15d44a2aedc
hex7edcb8958

34054310232 has 96 divisors (see below), whose sum is σ = 96292385280. Its totient is φ = 10852036800.

The previous prime is 34054310219. The next prime is 34054310333. The reversal of 34054310232 is 23201345043.

34054310232 is a `hidden beast` number, since 340 + 5 + 4 + 310 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34054310196 and 34054310205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3888883 + ... + 3897629.

It is an arithmetic number, because the mean of its divisors is an integer number (1003045680).

Almost surely, 234054310232 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 34054310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48146192640).

34054310232 is an abundant number, since it is smaller than the sum of its proper divisors (62238075048).

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

34054310232 is a wasteful number, since it uses less digits than its factorization.

34054310232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11133 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34054310232 its reverse (23201345043), we get a palindrome (57255655275).

The spelling of 34054310232 in words is "thirty-four billion, fifty-four million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2351 4702 7053 8747 9404 14106 17494 18808 21159 26241 28212 34988 42318 52482 54073 56424 69976 78723 84636 104964 108146 157446 162219 169272 201181 209928 216292 314892 324438 402362 432584 486657 603543 629784 648876 804724 973314 1207086 1297752 1609448 1810629 1946628 2414172 3621258 3893256 4828344 7242516 14485032 20564197 41128394 61692591 82256788 123385182 164513576 185077773 246770364 370155546 472976531 493540728 740311092 945953062 1418929593 1480622184 1891906124 2837859186 3783812248 4256788779 5675718372 8513577558 11351436744 17027155116 34054310232