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34190972352 = 2632311914817
BaseRepresentation
bin11111110101111100…
…001101010111000000
310021020211100100122100
4133311330031113000
51030010342103402
623412423110400
72320166320065
oct376574152700
9107224310570
1034190972352
1113555a04649
1267625a2400
1332bb72c9b4
141924cb0c6c
15d51a2371c
hex7f5f0d5c0

34190972352 has 84 divisors (see below), whose sum is σ = 101163664576. Its totient is φ = 11029340160.

The previous prime is 34190972351. The next prime is 34190972419. The reversal of 34190972352 is 25327909143.

It is a junction number, because it is equal to n+sod(n) for n = 34190972298 and 34190972307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34190972351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 939553 + ... + 975264.

Almost surely, 234190972352 is an apocalyptic number.

34190972352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34190972352 is an abundant number, since it is smaller than the sum of its proper divisors (66972692224).

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

34190972352 is a wasteful number, since it uses less digits than its factorization.

34190972352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914866 (or 1914853 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 34190972352 in words is "thirty-four billion, one hundred ninety million, nine hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 1914817 3829634 5744451 7659268 11488902 15318536 17233353 22977804 30637072 34466706 45955608 59359327 61274144 68933412 91911216 118718654 122548288 137866824 178077981 183822432 237437308 275733648 356155962 367644864 474874616 534233943 551467296 712311924 949749232 1068467886 1102934592 1424623848 1899498464 2136935772 2849247696 3798996928 4273871544 5698495392 8547743088 11396990784 17095486176 34190972352