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34370071372 = 22721334493911
BaseRepresentation
bin100000000000100111…
…011010101101001100
310021201022100112022101
4200000213122231030
51030342214240442
623442301524444
72324502533500
oct400047325514
9107638315271
1034370071372
111363801136a
1267b2573724
133319879750
1419409b2300
15d625eecb7
hex8009dab4c

34370071372 has 72 divisors (see below), whose sum is σ = 75390890400. Its totient is φ = 13589533440.

The previous prime is 34370071369. The next prime is 34370071381. The reversal of 34370071372 is 27317007343.

It is a super-2 number, since 2×343700713722 (a number of 22 digits) contains 22 as substring.

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, 8786097 + ... + 8790007.

It is an arithmetic number, because the mean of its divisors is an integer number (1047095700).

Almost surely, 234370071372 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 34370071372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37695445200).

34370071372 is an abundant number, since it is smaller than the sum of its proper divisors (41020819028).

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

34370071372 is a wasteful number, since it uses less digits than its factorization.

34370071372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7391 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 37.

The spelling of 34370071372 in words is "thirty-four billion, three hundred seventy million, seventy-one thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 3449 3911 6898 7822 13796 15644 24143 27377 44837 48286 50843 54754 89674 96572 101686 109508 169001 179348 191639 203372 313859 338002 355901 383278 627718 676004 711802 766556 1255436 1423604 2197013 2491307 4394026 4982614 8788052 9965228 13489039 26978078 53956156 94423273 175357507 188846546 350715014 377693092 660962911 701430028 1227502549 1321925822 2455005098 2643851644 4910010196 8592517843 17185035686 34370071372