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352440076416 = 2736713698697
BaseRepresentation
bin1010010000011110001…
…00001100100010000000
31020200201011011220221120
411020033010030202000
521233244124421131
6425524141552240
734314536135451
oct5101704144200
91220634156846
10352440076416
1112651826492a
125837b575680
132730927981c
14130b5965128
15927b394496
hex520f10c880

352440076416 has 64 divisors (see below), whose sum is σ = 950141693280. Its totient is φ = 115726583808.

The previous prime is 352440076399. The next prime is 352440076493. The reversal of 352440076416 is 614670044253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3524400764163 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6823621 + ... + 6875076.

Almost surely, 2352440076416 is an apocalyptic number.

It is an amenable number.

352440076416 is an abundant number, since it is smaller than the sum of its proper divisors (597701616864).

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

352440076416 is a wasteful number, since it uses less digits than its factorization.

352440076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13698781 (or 13698769 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 352440076416 in words is "three hundred fifty-two billion, four hundred forty million, seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 4288 6432 8576 12864 25728 13698697 27397394 41096091 54794788 82192182 109589576 164384364 219179152 328768728 438358304 657537456 876716608 917812699 1315074912 1753433216 1835625398 2630149824 2753438097 3671250796 5260299648 5506876194 7342501592 11013752388 14685003184 22027504776 29370006368 44055009552 58740012736 88110019104 117480025472 176220038208 352440076416