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3142322624 = 2677014113
BaseRepresentation
bin1011101101001100…
…0000100111000000
322002222211112021102
42323103000213000
522413413310444
61235450513532
7140604205310
oct27323004700
98088745242
103142322624
111372839551
127384358a8
133b1025acc
1421b493440
15135d0884e
hexbb4c09c0

3142322624 has 28 divisors (see below), whose sum is σ = 7126339824. Its totient is φ = 1346709504.

The previous prime is 3142322593. The next prime is 3142322699. The reversal of 3142322624 is 4262232413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

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, 3506609 + ... + 3507504.

Almost surely, 23142322624 is an apocalyptic number.

It is an amenable number.

3142322624 is an abundant number, since it is smaller than the sum of its proper divisors (3984017200).

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

3142322624 is an equidigital number, since it uses as much as digits as its factorization.

3142322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014132 (or 7014122 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 3142322624 is about 56056.4235748233. The cubic root of 3142322624 is about 1464.7053147373.

The spelling of 3142322624 in words is "three billion, one hundred forty-two million, three hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 7014113 14028226 28056452 49098791 56112904 98197582 112225808 196395164 224451616 392790328 448903232 785580656 1571161312 3142322624