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3457703634 = 2371127127617
BaseRepresentation
bin1100111000011000…
…0101111011010010
322220222021112200120
43032012011323102
524040133004014
61331034331110
7151453665420
oct31606057322
98828245616
103457703634
111514868a10
12805b89a96
1343147a7a8
1424b30c110
15153854ba9
hexce185ed2

3457703634 has 64 divisors (see below), whose sum is σ = 8653934592. Its totient is φ = 894758400.

The previous prime is 3457703603. The next prime is 3457703647. The reversal of 3457703634 is 4363077543.

3457703634 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111394 + ... + 139010.

It is an arithmetic number, because the mean of its divisors is an integer number (135217728).

Almost surely, 23457703634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3457703634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326967296).

3457703634 is an abundant number, since it is smaller than the sum of its proper divisors (5196230958).

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

3457703634 is a wasteful number, since it uses less digits than its factorization.

3457703634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27911.

The product of its (nonzero) digits is 635040, while the sum is 42.

The square root of 3457703634 is about 58802.2417429812. The cubic root of 3457703634 is about 1512.1536501213.

The spelling of 3457703634 in words is "three billion, four hundred fifty-seven million, seven hundred three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 271 462 542 813 1626 1897 2981 3794 5691 5962 8943 11382 17886 20867 27617 41734 55234 62601 82851 125202 165702 193319 303787 386638 579957 607574 911361 1159914 1822722 2126509 4253018 6379527 7484207 12759054 14968414 22452621 44905242 52389449 82326277 104778898 157168347 164652554 246978831 314336694 493957662 576283939 1152567878 1728851817 3457703634