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361420672 = 277139769
BaseRepresentation
bin10101100010101…
…101011110000000
3221012002001221211
4111202231132000
51220010430142
655510255504
711646011404
oct2542553600
9835061854
10361420672
11176015778
12a1057594
1359b545b2
1436001104
1521ae2917
hex158ad780

361420672 has 32 divisors (see below), whose sum is σ = 730177200. Its totient is φ = 178160640.

The previous prime is 361420667. The next prime is 361420687. The reversal of 361420672 is 276024163.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 10797 + ... + 28972.

Almost surely, 2361420672 is an apocalyptic number.

361420672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

361420672 is an abundant number, since it is smaller than the sum of its proper divisors (368756528).

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

361420672 is an equidigital number, since it uses as much as digits as its factorization.

361420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39854 (or 39842 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 361420672 is about 19011.0670926174. The cubic root of 361420672 is about 712.3132064760.

The spelling of 361420672 in words is "three hundred sixty-one million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 9088 39769 79538 159076 318152 636304 1272608 2545216 2823599 5090432 5647198 11294396 22588792 45177584 90355168 180710336 361420672