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630124352 = 261113312221
BaseRepresentation
bin100101100011101…
…110111101000000
31121220200122002222
4211203232331000
52242302434402
6142305430212
721420653144
oct4543567500
91556618088
10630124352
112a3763830
1215703b368
13a0715360
145d989224
153a4bd7a2
hex258eef40

630124352 has 112 divisors (see below), whose sum is σ = 1517074944. Its totient is φ = 255744000.

The previous prime is 630124331. The next prime is 630124403. The reversal of 630124352 is 253421036.

630124352 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 (26).

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, 282602 + ... + 284822.

It is an arithmetic number, because the mean of its divisors is an integer number (13545312).

Almost surely, 2630124352 is an apocalyptic number.

630124352 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758537472).

630124352 is an abundant number, since it is smaller than the sum of its proper divisors (886950592).

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

630124352 is a wasteful number, since it uses less digits than its factorization.

630124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 630124352 is about 25102.2778249305. The cubic root of 630124352 is about 857.3182878172.

Adding to 630124352 its reverse (253421036), we get a palindrome (883545388).

The spelling of 630124352 in words is "six hundred thirty million, one hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 143 176 208 248 286 341 352 403 416 496 572 682 704 806 832 992 1144 1364 1612 1984 2221 2288 2728 3224 4433 4442 4576 5456 6448 8866 8884 9152 10912 12896 17732 17768 21824 24431 25792 28873 35464 35536 48862 57746 68851 70928 71072 97724 115492 137702 141856 142144 195448 230984 275404 283712 317603 390896 461968 550808 635206 757361 781792 895063 923936 1101616 1270412 1514722 1563584 1790126 1847872 2203232 2540824 3029444 3580252 4406464 5081648 6058888 7160504 9845693 10163296 12117776 14321008 19691386 20326592 24235552 28642016 39382772 48471104 57284032 78765544 157531088 315062176 630124352