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3145361920 = 2951228657
BaseRepresentation
bin1011101101111010…
…0110101000000000
322010012112221101221
42323132212220000
522420203040140
61240040004424
7140642064241
oct27336465000
98105487357
103145361920
111374524a68
12739460714
133b184b2cc
1421ba44cc8
1513620914a
hexbb7a6a00

3145361920 has 40 divisors (see below), whose sum is σ = 7541502804. Its totient is φ = 1258143744.

The previous prime is 3145361881. The next prime is 3145361927. The reversal of 3145361920 is 291635413.

It can be written as a sum of positive squares in 2 ways, for example, as 3010058496 + 135303424 = 54864^2 + 11632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3145361927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 611769 + ... + 616888.

Almost surely, 23145361920 is an apocalyptic number.

It is an amenable number.

3145361920 is an abundant number, since it is smaller than the sum of its proper divisors (4396140884).

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

3145361920 is an equidigital number, since it uses as much as digits as its factorization.

3145361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228680 (or 1228664 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 3145361920 is about 56083.5262800049. The cubic root of 3145361920 is about 1465.1773900214.

The spelling of 3145361920 in words is "three billion, one hundred forty-five million, three hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 1228657 2457314 4914628 6143285 9829256 12286570 19658512 24573140 39317024 49146280 78634048 98292560 157268096 196585120 314536192 393170240 629072384 786340480 1572680960 3145361920