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640941984 = 25341072311
BaseRepresentation
bin100110001100111…
…111111110100000
31122200001020010000
4212030333332200
52303040120414
6143333340000
721611626344
oct4614777640
91580036100
10640941984
112a9882221
1215a797600
13a2a32117
14611a3624
153b408b09
hex2633ffa0

640941984 has 120 divisors (see below), whose sum is σ = 1903432608. Its totient is φ = 211559040.

The previous prime is 640941979. The next prime is 640942039. The reversal of 640941984 is 489149046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 276189 + ... + 278499.

Almost surely, 2640941984 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 640941984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951716304).

640941984 is an abundant number, since it is smaller than the sum of its proper divisors (1262490624).

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

640941984 is a wasteful number, since it uses less digits than its factorization.

640941984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 640941984 is about 25316.8320293041. The cubic root of 640941984 is about 862.1964693756.

The spelling of 640941984 in words is "six hundred forty million, nine hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 428 432 642 648 856 864 963 1284 1296 1712 1926 2311 2568 2592 2889 3424 3852 4622 5136 5778 6933 7704 8667 9244 10272 11556 13866 15408 17334 18488 20799 23112 27732 30816 34668 36976 41598 46224 55464 62397 69336 73952 83196 92448 110928 124794 138672 166392 187191 221856 247277 249588 277344 332784 374382 494554 499176 665568 741831 748764 989108 998352 1483662 1497528 1978216 1996704 2225493 2967324 2995056 3956432 4450986 5934648 5990112 6676479 7912864 8901972 11869296 13352958 17803944 20029437 23738592 26705916 35607888 40058874 53411832 71215776 80117748 106823664 160235496 213647328 320470992 640941984