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645354432 = 2633419109
BaseRepresentation
bin100110011101110…
…101001111000000
31122222100101212000
4212131311033000
52310202320212
6144012104000
721664264542
oct4635651700
91588311760
10645354432
11301316378
12160165000
13a3918638
14619d1692
153b9cb1dc
hex267753c0

645354432 has 112 divisors (see below), whose sum is σ = 1943709600. Its totient is φ = 209848320.

The previous prime is 645354427. The next prime is 645354433. The reversal of 645354432 is 234453546.

645354432 is a `hidden beast` number, since 64 + 53 + 544 + 3 + 2 = 666.

645354432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645354433) 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, 66294 + ... + 75402.

It is an arithmetic number, because the mean of its divisors is an integer number (17354550).

Almost surely, 2645354432 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 645354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971854800).

645354432 is an abundant number, since it is smaller than the sum of its proper divisors (1298355168).

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

645354432 is a wasteful number, since it uses less digits than its factorization.

645354432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171 (or 9155 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 645354432 is about 25403.8271132521. The cubic root of 645354432 is about 864.1704910466.

The spelling of 645354432 in words is "six hundred forty-five million, three hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 9109 11808 17712 18218 23616 27327 35424 36436 54654 70848 72872 81981 109308 145744 163962 218616 245943 291488 327924 373469 437232 491886 582976 655848 746938 874464 983772 1120407 1311696 1493876 1748928 1967544 2240814 2623392 2987752 3361221 3935088 4481628 5246784 5975504 6722442 7870176 8963256 10083663 11951008 13444884 15740352 17926512 20167326 23902016 26889768 35853024 40334652 53779536 71706048 80669304 107559072 161338608 215118144 322677216 645354432