Search a number
-
+
34795025964 = 223219352714423
BaseRepresentation
bin100000011001111100…
…011111011000101100
310022210220222110102100
4200121330133120230
51032230011312324
623552402055100
72341152561246
oct403174373054
9108726873370
1034795025964
1113835981006
1268b094a490
13338691767a
1419811d1096
15d89a924c9
hex819f1f62c

34795025964 has 72 divisors (see below), whose sum is σ = 92615927040. Its totient is φ = 10984025952.

The previous prime is 34795025963. The next prime is 34795026047. The reversal of 34795025964 is 46952059743.

34795025964 is a `hidden beast` number, since 3 + 4 + 79 + 502 + 5 + 9 + 64 = 666.

34795025964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34795025964.

It is not an unprimeable number, because it can be changed into a prime (34795025963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2405257 + ... + 2419679.

It is an arithmetic number, because the mean of its divisors is an integer number (1286332320).

Almost surely, 234795025964 is an apocalyptic number.

It is an amenable number.

34795025964 is an abundant number, since it is smaller than the sum of its proper divisors (57820901076).

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

34795025964 is a wasteful number, since it uses less digits than its factorization.

34795025964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17979 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 34795025964 in words is "thirty-four billion, seven hundred ninety-five million, twenty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 3527 7054 10581 14108 14423 21162 28846 31743 42324 43269 57692 63486 67013 86538 126972 129807 134026 173076 201039 259614 268052 274037 402078 519228 548074 603117 804156 822111 1096148 1206234 1644222 2412468 2466333 3288444 4932666 9865332 50869921 101739842 152609763 203479684 305219526 457829289 610439052 915658578 966528499 1831317156 1933056998 2899585497 3866113996 5799170994 8698756491 11598341988 17397512982 34795025964