Search a number
-
+
358468968 = 2331113149701
BaseRepresentation
bin10101010111011…
…100110101101000
3220222112002222110
4111113130311220
51213232001333
655323122320
711611636014
oct2527346550
9828462873
10358468968
1117438a050
12a00733a0
135935cc20
1435873544
152170d063
hex155dcd68

358468968 has 128 divisors (see below), whose sum is σ = 1061424000. Its totient is φ = 99456000.

The previous prime is 358468967. The next prime is 358468969. The reversal of 358468968 is 869864853.

It is an interprime number because it is at equal distance from previous prime (358468967) and next prime (358468969).

It is not an unprimeable number, because it can be changed into a prime (358468967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511018 + ... + 511718.

It is an arithmetic number, because the mean of its divisors is an integer number (8292375).

Almost surely, 2358468968 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 358468968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

358468968 is an abundant number, since it is smaller than the sum of its proper divisors (702955032).

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

358468968 is a wasteful number, since it uses less digits than its factorization.

358468968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 358468968 is about 18933.2767370046. The cubic root of 358468968 is about 710.3687616884.

The spelling of 358468968 in words is "three hundred fifty-eight million, four hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 149 156 264 286 298 312 429 447 572 596 701 858 894 1144 1192 1402 1639 1716 1788 1937 2103 2804 3278 3432 3576 3874 4206 4917 5608 5811 6556 7711 7748 8412 9113 9834 11622 13112 15422 15496 16824 18226 19668 21307 23133 23244 27339 30844 36452 39336 42614 46266 46488 54678 61688 63921 72904 85228 92532 100243 104449 109356 127842 170456 185064 200486 208898 218712 255684 300729 313347 400972 417796 511368 601458 626694 801944 835592 1148939 1202916 1253388 1357837 2297878 2405832 2506776 2715674 3446817 4073511 4595756 5431348 6893634 8147022 9191512 10862696 13787268 14936207 16294044 27574536 29872414 32588088 44808621 59744828 89617242 119489656 179234484 358468968