Search a number
-
+
3351053376 = 26331133147
BaseRepresentation
bin1100011110111101…
…0000010001000000
322122112121011001000
43013233100101000
523330332202001
61312304412000
7146020324626
oct30757202100
98575534030
103351053376
11146a645000
12796317000
13415349028
1423b0a9516
151492d9a86
hexc7bd0440

3351053376 has 448 divisors, whose sum is σ = 11423416320. Its totient is φ = 961804800.

The previous prime is 3351053347. The next prime is 3351053383. The reversal of 3351053376 is 6733501533.

3351053376 is a `hidden beast` number, since 3 + 3 + 51 + 0 + 533 + 76 = 666.

It is a super-2 number, since 2×33510533762 = 22459117457601994752, which contains 22 as substring.

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 3351053376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71298985 + ... + 71299031.

Almost surely, 23351053376 is an apocalyptic number.

3351053376 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 3351053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711708160).

3351053376 is an abundant number, since it is smaller than the sum of its proper divisors (8072362944).

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

3351053376 is a wasteful number, since it uses less digits than its factorization.

3351053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The square root of 3351053376 is about 57888.2835813949. The cubic root of 3351053376 is about 1496.4439282311.

The spelling of 3351053376 in words is "three billion, three hundred fifty-one million, fifty-three thousand, three hundred seventy-six".