Search a number
-
+
3357628794 = 2331321272897
BaseRepresentation
bin1100100000100001…
…0101100101111010
322122222222012211000
43020020111211322
523334023110134
61313101345430
7146130242142
oct31010254572
98588865730
103357628794
111473326233
12798568276
1341680bc00
1423bcdb922
15149b87e99
hexc821597a

3357628794 has 96 divisors (see below), whose sum is σ = 8145930240. Its totient is φ = 1024627968.

The previous prime is 3357628789. The next prime is 3357628801. The reversal of 3357628794 is 4978267533.

3357628794 is a `hidden beast` number, since 3 + 3 + 5 + 7 + 628 + 7 + 9 + 4 = 666.

It is a super-2 number, since 2×33576287942 = 22547342236595788872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3357628794.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157554 + ... + 1160450.

It is an arithmetic number, because the mean of its divisors is an integer number (84853440).

Almost surely, 23357628794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3357628794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072965120).

3357628794 is an abundant number, since it is smaller than the sum of its proper divisors (4788301446).

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

3357628794 is a wasteful number, since it uses less digits than its factorization.

3357628794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3042 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3357628794 is about 57945.0497799424. The cubic root of 3357628794 is about 1497.4220600218.

The spelling of 3357628794 in words is "three billion, three hundred fifty-seven million, six hundred twenty-eight thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 127 169 234 254 338 351 381 507 702 762 1014 1143 1521 1651 2286 2897 3042 3302 3429 4563 4953 5794 6858 8691 9126 9906 14859 17382 21463 26073 29718 37661 42926 44577 52146 64389 75322 78219 89154 112983 128778 156438 193167 225966 338949 367919 386334 489593 579501 677898 735838 979186 1016847 1103757 1159002 1468779 2033694 2207514 2937558 3311271 4406337 4782947 6622542 8812674 9565894 9933813 13219011 14348841 19867626 26438022 28697682 43046523 62178311 86093046 124356622 129139569 186534933 258279138 373069866 559604799 1119209598 1678814397 3357628794