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3354190056 = 2332710364613
BaseRepresentation
bin1100011111101100…
…1110000011101000
322122202111111202100
43013323032003220
523332133040211
61312455533400
7146056100520
oct30773160350
98582444670
103354190056
1114713976a8
1279738a260
13415ba6959
1423b684680
15149709156
hexc7ece0e8

3354190056 has 96 divisors (see below), whose sum is σ = 10482975360. Its totient is φ = 949021056.

The previous prime is 3354190019. The next prime is 3354190087. The reversal of 3354190056 is 6500914533.

It is a super-2 number, since 2×33541900562 = 22501181863538566272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3354190056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19606 + ... + 84218.

It is an arithmetic number, because the mean of its divisors is an integer number (109197660).

Almost surely, 23354190056 is an apocalyptic number.

3354190056 is a gapful number since it is divisible by the number (36) 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 3354190056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241487680).

3354190056 is an abundant number, since it is smaller than the sum of its proper divisors (7128785304).

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

3354190056 is a wasteful number, since it uses less digits than its factorization.

3354190056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64735 (or 64728 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3354190056 is about 57915.3697734893. The cubic root of 3354190056 is about 1496.9106871320.

The spelling of 3354190056 in words is "three billion, three hundred fifty-four million, one hundred ninety thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 103 126 168 206 252 309 412 504 618 721 824 927 1236 1442 1854 2163 2472 2884 3708 4326 5768 6489 7416 8652 12978 17304 25956 51912 64613 129226 193839 258452 387678 452291 516904 581517 775356 904582 1163034 1356873 1550712 1809164 2326068 2713746 3618328 4070619 4652136 5427492 6655139 8141238 10854984 13310278 16282476 19965417 26620556 32564952 39930834 46585973 53241112 59896251 79861668 93171946 119792502 139757919 159723336 186343892 239585004 279515838 372687784 419273757 479170008 559031676 838547514 1118063352 1677095028 3354190056