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645435630 = 232572334397
BaseRepresentation
bin100110011110001…
…001000011101110
31122222111112020100
4212132021003232
52310212420010
6144013531530
721665053350
oct4636110356
91588445210
10645435630
11301371384
121601a3ba6
13a3946598
1461a130d0
153b9e52c0
hex267890ee

645435630 has 96 divisors (see below), whose sum is σ = 1926535104. Its totient is φ = 146861568.

The previous prime is 645435613. The next prime is 645435647. The reversal of 645435630 is 36534546.

645435630 is a `hidden beast` number, since 64 + 543 + 56 + 3 + 0 = 666.

645435630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (645435613) and next prime (645435647).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144592 + ... + 148988.

It is an arithmetic number, because the mean of its divisors is an integer number (20068074).

Almost surely, 2645435630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645435630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963267552).

645435630 is an abundant number, since it is smaller than the sum of its proper divisors (1281099474).

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

645435630 is a wasteful number, since it uses less digits than its factorization.

645435630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 645435630 is about 25405.4252080141. The cubic root of 645435630 is about 864.2067326162.

The spelling of 645435630 in words is "six hundred forty-five million, four hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 233 315 466 630 699 1165 1398 1631 2097 2330 3262 3495 4194 4397 4893 6990 8155 8794 9786 10485 13191 14679 16310 20970 21985 24465 26382 29358 30779 39573 43970 48930 61558 65955 73395 79146 92337 131910 146790 153895 184674 197865 277011 307790 395730 461685 554022 923370 1024501 1385055 2049002 2770110 3073503 5122505 6147006 7171507 9220509 10245010 14343014 15367515 18441018 21514521 30735030 35857535 43029042 46102545 64543563 71715070 92205090 107572605 129087126 215145210 322717815 645435630