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645350368 = 25137379269
BaseRepresentation
bin100110011101110…
…100001111100000
31122222100012021111
4212131310033200
52310202202433
6144012033104
721664246645
oct4635641740
91588305244
10645350368
11301313313
12160162794
13a3916830
14619cddcc
153b9c9dcd
hex267743e0

645350368 has 96 divisors (see below), whose sum is σ = 1409788800. Its totient is φ = 288976896.

The previous prime is 645350357. The next prime is 645350383. The reversal of 645350368 is 863053546.

645350368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 645350368.

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, 2398938 + ... + 2399206.

It is an arithmetic number, because the mean of its divisors is an integer number (14685300).

Almost surely, 2645350368 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 645350368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704894400).

645350368 is an abundant number, since it is smaller than the sum of its proper divisors (764438432).

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

645350368 is a wasteful number, since it uses less digits than its factorization.

645350368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 645350368 is about 25403.7471251782. The cubic root of 645350368 is about 864.1686770582.

The spelling of 645350368 in words is "six hundred forty-five million, three hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 73 79 104 146 158 208 269 292 316 416 538 584 632 949 1027 1076 1168 1264 1898 2054 2152 2336 2528 3497 3796 4108 4304 5767 6994 7592 8216 8608 11534 13988 15184 16432 19637 21251 23068 27976 30368 32864 39274 42502 46136 55952 74971 78548 85004 92272 111904 149942 157096 170008 184544 255281 276263 299884 314192 340016 510562 552526 599768 628384 680032 1021124 1105052 1199536 1551323 2042248 2210104 2399072 3102646 4084496 4420208 6205292 8168992 8840416 12410584 20167199 24821168 40334398 49642336 80668796 161337592 322675184 645350368