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34914374154 = 232113167731163
BaseRepresentation
bin100000100001000011…
…110001001000001010
310100010020112222100200
4200201003301020022
51033001034433104
624012304113030
72344132166202
oct404103611012
9110106488320
1034914374154
1113897288080
126924905776
1333a55739ba
141992dbb402
15d952b9b39
hex8210f120a

34914374154 has 192 divisors, whose sum is σ = 87718146048. Its totient is φ = 9939283200.

The previous prime is 34914374153. The next prime is 34914374161. The reversal of 34914374154 is 45147341943.

It is a happy number.

34914374154 is a `hidden beast` number, since 3 + 491 + 4 + 3 + 7 + 4 + 154 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34914374153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30020377 + ... + 30021539.

It is an arithmetic number, because the mean of its divisors is an integer number (456865344).

Almost surely, 234914374154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34914374154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43859073024).

34914374154 is an abundant number, since it is smaller than the sum of its proper divisors (52803771894).

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

34914374154 is a wasteful number, since it uses less digits than its factorization.

34914374154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1350 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 34914374154 in words is "thirty-four billion, nine hundred fourteen million, three hundred seventy-four thousand, one hundred fifty-four".