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3640330464 = 253433892267
BaseRepresentation
bin1101100011111011…
…0000100011100000
3100101200220221121020
43120332300203200
524423411033324
61401120525440
7156132204231
oct33076604340
910350827536
103640330464
1115a8965181
12857180880
134602611c4
1426768b088
151648cb679
hexd8fb08e0

3640330464 has 96 divisors (see below), whose sum is σ = 9807557760. Its totient is φ = 1181655552.

The previous prime is 3640330459. The next prime is 3640330469. The reversal of 3640330464 is 4640330463.

It is an interprime number because it is at equal distance from previous prime (3640330459) and next prime (3640330469).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640330469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604659 + ... + 1606925.

It is an arithmetic number, because the mean of its divisors is an integer number (102162060).

Almost surely, 23640330464 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 3640330464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880).

3640330464 is an abundant number, since it is smaller than the sum of its proper divisors (6167227296).

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

3640330464 is a wasteful number, since it uses less digits than its factorization.

3640330464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The square root of 3640330464 is about 60335.1511475690. The cubic root of 3640330464 is about 1538.3208864625.

Subtracting 3640330464 from its reverse (4640330463), we obtain a palindrome (999999999).

The spelling of 3640330464 in words is "three billion, six hundred forty million, three hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 389 516 688 778 1032 1167 1376 1556 2064 2267 2334 3112 4128 4534 4668 6224 6801 9068 9336 12448 13602 16727 18136 18672 27204 33454 36272 37344 50181 54408 66908 72544 97481 100362 108816 133816 194962 200724 217632 267632 292443 389924 401448 535264 584886 779848 802896 881863 1169772 1559696 1605792 1763726 2339544 2645589 3119392 3527452 4679088 5291178 7054904 9358176 10582356 14109808 21164712 28219616 37920109 42329424 75840218 84658848 113760327 151680436 227520654 303360872 455041308 606721744 910082616 1213443488 1820165232 3640330464