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630516432 = 243713144349
BaseRepresentation
bin100101100101001…
…110101011010000
31121221102112221110
4211211032223100
52242403011212
6142322053320
721424205220
oct4545165320
91557375843
10630516432
112a3a01367
121571aa240
13a0821960
145da4c080
153a549a3c
hex2594ead0

630516432 has 80 divisors (see below), whose sum is σ = 2004732800. Its totient is φ = 166288896.

The previous prime is 630516413. The next prime is 630516443. The reversal of 630516432 is 234615036.

It is a self number, because there is not a number n which added to its sum of digits gives 630516432.

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, 67807 + ... + 76542.

It is an arithmetic number, because the mean of its divisors is an integer number (25059160).

Almost surely, 2630516432 is an apocalyptic number.

It is an amenable number.

630516432 is an abundant number, since it is smaller than the sum of its proper divisors (1374216368).

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

630516432 is a wasteful number, since it uses less digits than its factorization.

630516432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144380 (or 144374 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 630516432 is about 25110.0862603058. The cubic root of 630516432 is about 857.4960663035.

The spelling of 630516432 in words is "six hundred thirty million, five hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 144349 288698 433047 577396 866094 1010443 1154792 1732188 1876537 2020886 2309584 3031329 3464376 3753074 4041772 5629611 6062658 6928752 7506148 8083544 11259222 12125316 13135759 15012296 16167088 22518444 24250632 26271518 30024592 39407277 45036888 48501264 52543036 78814554 90073776 105086072 157629108 210172144 315258216 630516432