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2346056664 = 233752326701
BaseRepresentation
bin1000101111010101…
…1111101111011000
320001111112000201120
42023311133233120
514301042303124
61024444045240
7112065103230
oct21365375730
96044460646
102346056664
11aa4319106
12555833820
132b507c713
1418381acc0
15dae6cd79
hex8bd5fbd8

2346056664 has 64 divisors (see below), whose sum is σ = 6716087040. Its totient is φ = 668995200.

The previous prime is 2346056639. The next prime is 2346056689. The reversal of 2346056664 is 4666506432.

It is an interprime number because it is at equal distance from previous prime (2346056639) and next prime (2346056689).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74514 + ... + 101214.

It is an arithmetic number, because the mean of its divisors is an integer number (104938860).

Almost surely, 22346056664 is an apocalyptic number.

2346056664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2346056664 is an abundant number, since it is smaller than the sum of its proper divisors (4370030376).

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

2346056664 is a wasteful number, since it uses less digits than its factorization.

2346056664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27240 (or 27236 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 2346056664 is about 48436.1090922877. The cubic root of 2346056664 is about 1328.7588368238.

The spelling of 2346056664 in words is "two billion, three hundred forty-six million, fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 523 1046 1569 2092 3138 3661 4184 6276 7322 10983 12552 14644 21966 26701 29288 43932 53402 80103 87864 106804 160206 186907 213608 320412 373814 560721 640824 747628 1121442 1495256 2242884 4485768 13964623 27929246 41893869 55858492 83787738 97752361 111716984 167575476 195504722 293257083 335150952 391009444 586514166 782018888 1173028332 2346056664