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3142322304 = 27311743921
BaseRepresentation
bin1011101101001100…
…0000100010000000
322002222211111211120
42323103000202000
522413413303204
61235450512240
7140604204342
oct27323004200
98088744746
103142322304
111372839290
12738435680
133b1025914
1421b493292
15135d086d9
hexbb4c0880

3142322304 has 64 divisors (see below), whose sum is σ = 9105605280. Its totient is φ = 952217600.

The previous prime is 3142322297. The next prime is 3142322363. The reversal of 3142322304 is 4032232413.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 367737 + ... + 376184.

Almost surely, 23142322304 is an apocalyptic number.

It is an amenable number.

3142322304 is an abundant number, since it is smaller than the sum of its proper divisors (5963282976).

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

3142322304 is a wasteful number, since it uses less digits than its factorization.

3142322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743949 (or 743937 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3142322304 is about 56056.4207205562. The cubic root of 3142322304 is about 1464.7052650177.

Adding to 3142322304 its reverse (4032232413), we get a palindrome (7174554717).

The spelling of 3142322304 in words is "three billion, one hundred forty-two million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 743921 1487842 2231763 2975684 4463526 5951368 8183131 8927052 11902736 16366262 17854104 23805472 24549393 32732524 35708208 47610944 49098786 65465048 71416416 95221888 98197572 130930096 142832832 196395144 261860192 285665664 392790288 523720384 785580576 1047440768 1571161152 3142322304