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356864940 = 2235597757
BaseRepresentation
bin10101010001010…
…101001110101100
3220212111121200000
4111101111032230
51212324134230
655224504300
711562205365
oct2521251654
9825447600
10356864940
11173493a03
129b61b090
1358c1aab3
1435576b6c
15214e2b60
hex154553ac

356864940 has 144 divisors (see below), whose sum is σ = 1135653792. Its totient is φ = 94058496.

The previous prime is 356864939. The next prime is 356864947. The reversal of 356864940 is 49468653.

356864940 is a `hidden beast` number, since 3 + 568 + 6 + 49 + 40 = 666.

356864940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (356864947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471042 + ... + 471798.

Almost surely, 2356864940 is an apocalyptic number.

356864940 is a gapful number since it is divisible by the number (30) 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 356864940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567826896).

356864940 is an abundant number, since it is smaller than the sum of its proper divisors (778788852).

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

356864940 is a wasteful number, since it uses less digits than its factorization.

356864940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 356864940 is about 18890.8692229871. The cubic root of 356864940 is about 709.3076236473.

The spelling of 356864940 in words is "three hundred fifty-six million, eight hundred sixty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 243 270 291 324 388 405 485 486 540 582 757 810 873 970 972 1164 1215 1455 1514 1620 1746 1940 2271 2430 2619 2910 3028 3492 3785 4365 4542 4860 5238 5820 6813 7570 7857 8730 9084 10476 11355 13095 13626 15140 15714 17460 20439 22710 23571 26190 27252 31428 34065 39285 40878 45420 47142 52380 61317 68130 73429 78570 81756 94284 102195 117855 122634 136260 146858 157140 183951 204390 220287 235710 245268 293716 306585 367145 367902 408780 440574 471420 613170 660861 734290 735804 881148 919755 1101435 1226340 1321722 1468580 1839510 1982583 2202870 2643444 3304305 3679020 3965166 4405740 5947749 6608610 7930332 9912915 11895498 13217220 17843247 19825830 23790996 29738745 35686494 39651660 59477490 71372988 89216235 118954980 178432470 356864940