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640344960 = 2733537057
BaseRepresentation
bin100110001010101…
…110001110000000
31122121220220011000
4212022232032000
52302412014320
6143312452000
721603561633
oct4612561600
91577826130
10640344960
112a9504712
1215a54a000
13a2883458
1461089c1a
153b33bc90
hex262ae380

640344960 has 128 divisors (see below), whose sum is σ = 2267949600. Its totient is φ = 170754048.

The previous prime is 640344937. The next prime is 640344979. The reversal of 640344960 is 69443046.

640344960 is a `hidden beast` number, since 640 + 3 + 4 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1249 + ... + 35808.

Almost surely, 2640344960 is an apocalyptic number.

640344960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133974800).

640344960 is an abundant number, since it is smaller than the sum of its proper divisors (1627604640).

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

640344960 is a wasteful number, since it uses less digits than its factorization.

640344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37085 (or 37067 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 640344960 is about 25305.0382335218. The cubic root of 640344960 is about 861.9286802426.

The spelling of 640344960 in words is "six hundred forty million, three hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 37057 74114 111171 148228 185285 222342 296456 333513 370570 444684 555855 592912 667026 741140 889368 1000539 1111710 1185824 1334052 1482280 1667565 1778736 2001078 2223420 2371648 2668104 2964560 3335130 3557472 4002156 4446840 4743296 5002695 5336208 5929120 6670260 7114944 8004312 8893680 10005390 10672416 11858240 13340520 14229888 16008624 17787360 20010780 21344832 23716480 26681040 32017248 35574720 40021560 42689664 53362080 64034496 71149440 80043120 106724160 128068992 160086240 213448320 320172480 640344960