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2305375104 = 2736003581
BaseRepresentation
bin1000100101101001…
…0011101110000000
312221122222012010010
42021122103232000
514210134000404
61020432104520
7111062236134
oct21132235600
95848865103
102305375104
11a8336248a
12544095140
132a98078a6
1417c26b3c4
15d75d4189
hex89693b80

2305375104 has 32 divisors (see below), whose sum is σ = 6123653640. Its totient is φ = 768458240.

The previous prime is 2305375069. The next prime is 2305375147. The reversal of 2305375104 is 4015735032.

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, 3001407 + ... + 3002174.

Almost surely, 22305375104 is an apocalyptic number.

2305375104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2305375104 is an abundant number, since it is smaller than the sum of its proper divisors (3818278536).

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

2305375104 is an equidigital number, since it uses as much as digits as its factorization.

2305375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003598 (or 6003586 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2305375104 is about 48014.3218633774. The cubic root of 2305375104 is about 1321.0336073334.

It can be divided in two parts, 230537 and 5104, that added together give a triangular number (235641 = T686).

The spelling of 2305375104 in words is "two billion, three hundred five million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 6003581 12007162 18010743 24014324 36021486 48028648 72042972 96057296 144085944 192114592 288171888 384229184 576343776 768458368 1152687552 2305375104