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670332432 = 243711293619
BaseRepresentation
bin100111111101000…
…111011000010000
31201201100102020010
4213331013120100
52333101114212
6150303314520
722416505650
oct4775073020
91651312203
10670332432
11314426750
121685aba40
13a8b52813
1465054360
153dcb203c
hex27f47610

670332432 has 160 divisors (see below), whose sum is σ = 2169861120. Its totient is φ = 173237760.

The previous prime is 670332427. The next prime is 670332449. The reversal of 670332432 is 234233076.

670332432 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 670332432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082619 + ... + 1083237.

It is an arithmetic number, because the mean of its divisors is an integer number (13561632).

Almost surely, 2670332432 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 670332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084930560).

670332432 is an abundant number, since it is smaller than the sum of its proper divisors (1499528688).

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

670332432 is a wasteful number, since it uses less digits than its factorization.

670332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 670332432 is about 25890.7788990598. The cubic root of 670332432 is about 875.1787094028.

The spelling of 670332432 in words is "six hundred seventy million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 293 308 336 462 528 586 616 619 879 924 1172 1232 1238 1758 1848 1857 2051 2344 2476 3223 3516 3696 3714 4102 4333 4688 4952 6153 6446 6809 7032 7428 8204 8666 9669 9904 12306 12892 12999 13618 14064 14856 16408 17332 19338 20427 22561 24612 25784 25998 27236 29712 32816 34664 38676 40854 45122 47663 49224 51568 51996 54472 67683 69328 77352 81708 90244 95326 98448 103992 108944 135366 142989 154704 163416 180488 181367 190652 207984 270732 285978 326832 360976 362734 381304 541464 544101 571956 725468 762608 1082928 1088202 1143912 1269569 1450936 1995037 2176404 2287824 2539138 2901872 3808707 3990074 4352808 5078276 5985111 7617414 7980148 8705616 10156552 11970222 13965259 15234828 15960296 20313104 23940444 27930518 30469656 31920592 41895777 47880888 55861036 60939312 83791554 95761776 111722072 167583108 223444144 335166216 670332432