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34097891352 = 23371297156487
BaseRepresentation
bin11111110000011001…
…001000100000011000
310021000100012100111220
4133300121020200120
51024313030010402
623355300052040
72314656202650
oct376031104030
9107010170456
1034097891352
11135084094a8
126737394020
1332a536c595
1419167a1360
15d48788dbc
hex7f0648818

34097891352 has 64 divisors (see below), whose sum is σ = 97498283520. Its totient is φ = 9734681088.

The previous prime is 34097891339. The next prime is 34097891407. The reversal of 34097891352 is 25319879043.

It is a super-3 number, since 3×340978913523 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34097891295 and 34097891304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139653 + ... + 296139.

It is an arithmetic number, because the mean of its divisors is an integer number (1523410680).

Almost surely, 234097891352 is an apocalyptic number.

It is an amenable number.

34097891352 is an abundant number, since it is smaller than the sum of its proper divisors (63400392168).

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

34097891352 is a wasteful number, since it uses less digits than its factorization.

34097891352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157800 (or 157796 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 34097891352 in words is "thirty-four billion, ninety-seven million, eight hundred ninety-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1297 2594 3891 5188 7782 9079 10376 15564 18158 27237 31128 36316 54474 72632 108948 156487 217896 312974 469461 625948 938922 1095409 1251896 1877844 2190818 3286227 3755688 4381636 6572454 8763272 13144908 26289816 202963639 405927278 608890917 811854556 1217781834 1420745473 1623709112 2435563668 2841490946 4262236419 4871127336 5682981892 8524472838 11365963784 17048945676 34097891352