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3470800968 = 233329554087
BaseRepresentation
bin1100111011100000…
…0011100001001000
322221212220221212000
43032320003201020
524102011112333
61332223151000
7152003215155
oct31670034110
98855827760
103470800968
1115211a4158
1280a445460
134340b50ab
1424cd5b22c
15154a90713
hexcee03848

3470800968 has 64 divisors (see below), whose sum is σ = 9973584000. Its totient is φ = 1117037376.

The previous prime is 3470800967. The next prime is 3470801011. The reversal of 3470800968 is 8690080743.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3470800961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270780 + ... + 283307.

It is an arithmetic number, because the mean of its divisors is an integer number (155837250).

Almost surely, 23470800968 is an apocalyptic number.

It is an amenable number.

3470800968 is an abundant number, since it is smaller than the sum of its proper divisors (6502783032).

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

3470800968 is a wasteful number, since it uses less digits than its factorization.

3470800968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554131 (or 554121 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3470800968 is about 58913.5041225694. The cubic root of 3470800968 is about 1514.0605252723.

The spelling of 3470800968 in words is "three billion, four hundred seventy million, eight hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 554087 1108174 1662261 2216348 3324522 4432696 4986783 6649044 9973566 13298088 14960349 16068523 19947132 29920698 32137046 39894264 48205569 59841396 64274092 96411138 119682792 128548184 144616707 192822276 289233414 385644552 433850121 578466828 867700242 1156933656 1735400484 3470800968