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34340816 = 2417251503
BaseRepresentation
bin1000001011111…
…1111111010000
32101121200202002
42002333333100
532242401231
63224013132
7564614666
oct202777720
971550662
1034340816
1118425844
12b6011a8
137164a13
1447bcc36
1530350cb
hex20bffd0

34340816 has 40 divisors (see below), whose sum is σ = 70870464. Its totient is φ = 16064000.

The previous prime is 34340749. The next prime is 34340827. The reversal of 34340816 is 61804343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68021 + ... + 68523.

Almost surely, 234340816 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 34340816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35435232).

34340816 is an abundant number, since it is smaller than the sum of its proper divisors (36529648).

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

34340816 is a wasteful number, since it uses less digits than its factorization.

34340816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 34340816 is about 5860.1037533477. The cubic root of 34340816 is about 325.0400455586.

The spelling of 34340816 in words is "thirty-four million, three hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 251 272 502 503 1004 1006 2008 2012 4016 4024 4267 8048 8534 8551 17068 17102 34136 34204 68272 68408 126253 136816 252506 505012 1010024 2020048 2146301 4292602 8585204 17170408 34340816