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34688657632 = 2529139268921
BaseRepresentation
bin100000010011100110…
…101110100011100000
310022112111211101111111
4200103212232203200
51032020244021012
623534042153104
72335421503426
oct402346564340
9108474741444
1034688657632
111379092a9a2
1268811b2794
13336a884325
141971023116
15d80580ba7
hex8139ae8e0

34688657632 has 48 divisors (see below), whose sum is σ = 71156761200. Its totient is φ = 16625710080.

The previous prime is 34688657617. The next prime is 34688657723. The reversal of 34688657632 is 23675688643.

It is a super-2 number, since 2×346886576322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5469 + ... + 263452.

It is an arithmetic number, because the mean of its divisors is an integer number (1482432525).

Almost surely, 234688657632 is an apocalyptic number.

34688657632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34688657632 is an abundant number, since it is smaller than the sum of its proper divisors (36468103568).

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

34688657632 is a wasteful number, since it uses less digits than its factorization.

34688657632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269099 (or 269091 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 58.

The spelling of 34688657632 in words is "thirty-four billion, six hundred eighty-eight million, six hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 139 232 278 464 556 928 1112 2224 4031 4448 8062 16124 32248 64496 128992 268921 537842 1075684 2151368 4302736 7798709 8605472 15597418 31194836 37380019 62389672 74760038 124779344 149520076 249558688 299040152 598080304 1084020551 1196160608 2168041102 4336082204 8672164408 17344328816 34688657632