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34076717696 = 277417397131
BaseRepresentation
bin11111101111001000…
…010111001010000000
310020221212100121201102
4133233020113022000
51024242114431241
623353222153532
72314311215120
oct375710271200
9106855317642
1034076717696
11134a746740a
1267302828a8
1332a0b67ba8
141913a4cc80
15d469a539b
hex7ef217280

34076717696 has 256 divisors, whose sum is σ = 82018379520. Its totient is φ = 13801881600.

The previous prime is 34076717687. The next prime is 34076717707. The reversal of 34076717696 is 69671767043.

It is a happy number.

It is a super-2 number, since 2×340767176962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 31 ways as a sum of consecutive naturals, for example, 260127551 + ... + 260127681.

It is an arithmetic number, because the mean of its divisors is an integer number (320384295).

Almost surely, 234076717696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34076717696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41009189760).

34076717696 is an abundant number, since it is smaller than the sum of its proper divisors (47941661824).

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

34076717696 is a wasteful number, since it uses less digits than its factorization.

34076717696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 56.

The spelling of 34076717696 in words is "thirty-four billion, seventy-six million, seven hundred seventeen thousand, six hundred ninety-six".