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34056362256 = 2437953106357
BaseRepresentation
bin11111101101111010…
…101101100100010000
310020220110001110022020
4133231322231210100
51024221412043011
623351214011440
72313643205610
oct375572554420
9106813043266
1034056362256
1113496a24034
1267254a6b80
13329988ba57
141911070a40
15d44cd4006
hex7edead910

34056362256 has 80 divisors (see below), whose sum is σ = 100653807744. Its totient is φ = 9720087552.

The previous prime is 34056362239. The next prime is 34056362267. The reversal of 34056362256 is 65226365043.

It is a super-2 number, since 2×340563622562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 267030 + ... + 373386.

Almost surely, 234056362256 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 34056362256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50326903872).

34056362256 is an abundant number, since it is smaller than the sum of its proper divisors (66597445488).

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

34056362256 is a wasteful number, since it uses less digits than its factorization.

34056362256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107328 (or 107322 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 34056362256 in words is "thirty-four billion, fifty-six million, three hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 953 1906 2859 3812 5718 6671 7624 11436 13342 15248 20013 22872 26684 40026 45744 53368 80052 106357 106736 160104 212714 319071 320208 425428 638142 744499 850856 1276284 1488998 1701712 2233497 2552568 2977996 4466994 5105136 5955992 8933988 11911984 17867976 35735952 101358221 202716442 304074663 405432884 608149326 709507547 810865768 1216298652 1419015094 1621731536 2128522641 2432597304 2838030188 4257045282 4865194608 5676060376 8514090564 11352120752 17028181128 34056362256