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3684114864 = 243237691463
BaseRepresentation
bin1101101110010111…
…0010000110110000
3100111202022102111200
43123211302012300
530021113133424
61405323211200
7160203313443
oct33345620660
910452272450
103684114864
111620650031
12869976b00
13469351431
1426d40765a
151686798c9
hexdb9721b0

3684114864 has 60 divisors (see below), whose sum is σ = 10589079696. Its totient is φ = 1194846336.

The previous prime is 3684114859. The next prime is 3684114869. The reversal of 3684114864 is 4684114863.

3684114864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3684114859) and next prime (3684114869).

It is a super-2 number, since 2×36841148642 = 27145404662291476992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3684114869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340404 + ... + 351059.

Almost surely, 23684114864 is an apocalyptic number.

It is an amenable number.

3684114864 is an abundant number, since it is smaller than the sum of its proper divisors (6904964832).

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

3684114864 is a wasteful number, since it uses less digits than its factorization.

3684114864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691514 (or 691505 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3684114864 is about 60696.9098389696. The cubic root of 3684114864 is about 1544.4637545784.

Subtracting 3684114864 from its reverse (4684114863), we obtain a palindrome (999999999).

The spelling of 3684114864 in words is "three billion, six hundred eighty-four million, one hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 691463 1382926 2074389 2765852 4148778 5531704 6223167 8297556 11063408 12446334 16595112 24892668 25584131 33190224 49785336 51168262 76752393 99570672 102336524 153504786 204673048 230257179 307009572 409346096 460514358 614019144 921028716 1228038288 1842057432 3684114864