Search a number
-
+
343034891100 = 2232521123149999
BaseRepresentation
bin1001111110111100111…
…10010000101101011100
31012210102200200000011200
410333132132100231130
521110013413003400
6421331004115500
733532503315216
oct4773636205534
91183380600150
10343034891100
11122531286a00
1256595835b90
132646a890a05
14128627d95b6
158dca82cb00
hex4fde790b5c

343034891100 has 162 divisors, whose sum is σ = 1181857950000. Its totient is φ = 83159947200.

The previous prime is 343034891099. The next prime is 343034891149. The reversal of 343034891100 is 1198430343.

343034891100 is a `hidden beast` number, since 3 + 430 + 34 + 8 + 91 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1466100 + ... + 1683899.

Almost surely, 2343034891100 is an apocalyptic number.

343034891100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343034891100 is an abundant number, since it is smaller than the sum of its proper divisors (838823058900).

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

343034891100 is a wasteful number, since it uses less digits than its factorization.

343034891100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150041 (or 3150020 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 343034891100 in words is "three hundred forty-three billion, thirty-four million, eight hundred ninety-one thousand, one hundred".