Search a number
-
+
3342498264 = 2333721110477
BaseRepresentation
bin1100011100111010…
…0111100111011000
322121221111111122000
43013032213213120
523321134421024
61311401201000
7145554523620
oct30716474730
98557444560
103342498264
111465831466
12793490160
13413642031
14239cbd880
15148699cc9
hexc73a79d8

3342498264 has 128 divisors (see below), whose sum is σ = 10662412800. Its totient is φ = 950382720.

The previous prime is 3342498241. The next prime is 3342498277. The reversal of 3342498264 is 4628942433.

3342498264 is a `hidden beast` number, since 3 + 342 + 49 + 8 + 264 = 666.

It is a super-2 number, since 2×33424982642 = 22344589289686027392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 313794 + ... + 324270.

It is an arithmetic number, because the mean of its divisors is an integer number (83300100).

Almost surely, 23342498264 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 3342498264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331206400).

3342498264 is an abundant number, since it is smaller than the sum of its proper divisors (7319914536).

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

3342498264 is a wasteful number, since it uses less digits than its factorization.

3342498264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10710 (or 10700 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3342498264 is about 57814.3430646756. The cubic root of 3342498264 is about 1495.1693881590.

The spelling of 3342498264 in words is "three billion, three hundred forty-two million, four hundred ninety-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 211 216 252 378 422 504 633 756 844 1266 1477 1512 1688 1899 2532 2954 3798 4431 5064 5697 5908 7596 8862 10477 11394 11816 13293 15192 17724 20954 22788 26586 31431 35448 39879 41908 45576 53172 62862 73339 79758 83816 94293 106344 125724 146678 159516 188586 220017 251448 282879 293356 319032 377172 440034 565758 586712 660051 754344 880068 1131516 1320102 1760136 1980153 2210647 2263032 2640204 3960306 4421294 5280408 6631941 7920612 8842588 13263882 15474529 15841224 17685176 19895823 26527764 30949058 39791646 46423587 53055528 59687469 61898116 79583292 92847174 119374938 123796232 139270761 159166584 185694348 238749876 278541522 371388696 417812283 477499752 557083044 835624566 1114166088 1671249132 3342498264