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3412304256 = 27329306421
BaseRepresentation
bin1100101101100011…
…1010000110000000
322210210212000110010
43023120322012000
523442022214011
61322333304520
7150363051624
oct31330720600
98723760403
103412304256
1114a117a769
127b2935140
13424c4345a
14245291184
1514e8881a6
hexcb63a180

3412304256 has 64 divisors (see below), whose sum is σ = 9376513200. Its totient is φ = 1098209280.

The previous prime is 3412304249. The next prime is 3412304263. The reversal of 3412304256 is 6524032143.

It is an interprime number because it is at equal distance from previous prime (3412304249) and next prime (3412304263).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 142075 + ... + 164346.

Almost surely, 23412304256 is an apocalyptic number.

It is an amenable number.

3412304256 is an abundant number, since it is smaller than the sum of its proper divisors (5964208944).

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

3412304256 is a wasteful number, since it uses less digits than its factorization.

3412304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306467 (or 306455 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3412304256 is about 58414.9317897402. The cubic root of 3412304256 is about 1505.5063186810.

Adding to 3412304256 its reverse (6524032143), we get a palindrome (9936336399).

The spelling of 3412304256 in words is "three billion, four hundred twelve million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 306421 612842 919263 1225684 1838526 2451368 3677052 4902736 7354104 8886209 9805472 14708208 17772418 19610944 26658627 29416416 35544836 39221888 53317254 58832832 71089672 106634508 117665664 142179344 213269016 284358688 426538032 568717376 853076064 1137434752 1706152128 3412304256