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34297090380 = 2232572191031987
BaseRepresentation
bin11111111100010001…
…000001000101001100
310021112020000201012200
4133330101001011030
51030220023343010
623431133401500
72322625313100
oct377421010514
9107466021180
1034297090380
11135aa8a46a3
126792039290
133307706127
141935015900
15d5aed5cc0
hex7fc44114c

34297090380 has 432 divisors, whose sum is σ = 128690714880. Its totient is φ = 7350932736.

The previous prime is 34297090349. The next prime is 34297090397. The reversal of 34297090380 is 8309079243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17259747 + ... + 17261733.

Almost surely, 234297090380 is an apocalyptic number.

34297090380 is a gapful number since it is divisible by the number (30) 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 34297090380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64345357440).

34297090380 is an abundant number, since it is smaller than the sum of its proper divisors (94393624500).

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

34297090380 is a wasteful number, since it uses less digits than its factorization.

34297090380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 34297090380 in words is "thirty-four billion, two hundred ninety-seven million, ninety thousand, three hundred eighty".