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34468408 = 23131572111
BaseRepresentation
bin1000001101111…
…1001000111000
32101212011202201
42003133020320
532310442113
63230435544
7565655662
oct203371070
971764681
1034468408
1118502697
12b662bb4
1371aab10
144813532
15305ccdd
hex20df238

34468408 has 32 divisors (see below), whose sum is σ = 70076160. Its totient is φ = 15799680.

The previous prime is 34468403. The next prime is 34468429. The reversal of 34468408 is 80486443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34468403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15273 + ... + 17383.

It is an arithmetic number, because the mean of its divisors is an integer number (2189880).

Almost surely, 234468408 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 34468408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35038080).

34468408 is an abundant number, since it is smaller than the sum of its proper divisors (35607752).

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

34468408 is a wasteful number, since it uses less digits than its factorization.

34468408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 34468408 is about 5870.9801566689. The cubic root of 34468408 is about 325.4421060112.

The spelling of 34468408 in words is "thirty-four million, four hundred sixty-eight thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 2111 4082 4222 8164 8444 16328 16888 27443 54886 109772 219544 331427 662854 1325708 2651416 4308551 8617102 17234204 34468408