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2371400704 = 2102698609
BaseRepresentation
bin1000110101011000…
…1011010000000000
320010021012122012201
42031112023100000
514324034310304
61031151202544
7112523400451
oct21526132000
96107178181
102371400704
1110076594a2
12562216454
132ba3b43aa
14186d37128
15dd2c73a4
hex8d58b400

2371400704 has 44 divisors (see below), whose sum is σ = 4758660900. Its totient is φ = 1181155328.

The previous prime is 2371400701. The next prime is 2371400723. The reversal of 2371400704 is 4070041732.

It can be written as a sum of positive squares in 2 ways, for example, as 332697600 + 2038703104 = 18240^2 + 45152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2371400701) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 271152 + ... + 279760.

Almost surely, 22371400704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2371400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379330450).

2371400704 is an abundant number, since it is smaller than the sum of its proper divisors (2387260196).

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

2371400704 is an equidigital number, since it uses as much as digits as its factorization.

2371400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2371400704 is about 48697.0297246146. The cubic root of 2371400704 is about 1333.5264929046.

The spelling of 2371400704 in words is "two billion, three hundred seventy-one million, four hundred thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 269 512 538 1024 1076 2152 4304 8608 8609 17216 17218 34432 34436 68864 68872 137728 137744 275456 275488 550976 1101952 2203904 2315821 4407808 4631642 8815616 9263284 18526568 37053136 74106272 148212544 296425088 592850176 1185700352 2371400704