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34420008 = 2337211971
BaseRepresentation
bin1000001101001…
…1010100101000
32101202201101010
42003103110220
532302420013
63225423520
7565364610
oct203232450
971681333
1034420008
111847a297
12b63aba0
137191a8c
1447dda40
15304d7c3
hex20d3528

34420008 has 64 divisors (see below), whose sum is σ = 98910720. Its totient is φ = 9777600.

The previous prime is 34420007. The next prime is 34420021. The reversal of 34420008 is 80002443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34420003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34963 + ... + 35933.

It is an arithmetic number, because the mean of its divisors is an integer number (1545480).

Almost surely, 234420008 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 34420008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49455360).

34420008 is an abundant number, since it is smaller than the sum of its proper divisors (64490712).

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

34420008 is a wasteful number, since it uses less digits than its factorization.

34420008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34420008 is about 5866.8567393452. The cubic root of 34420008 is about 325.2897077503.

The spelling of 34420008 in words is "thirty-four million, four hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 971 1266 1477 1688 1942 2532 2913 2954 3884 4431 5064 5826 5908 6797 7768 8862 11652 11816 13594 17724 20391 23304 27188 35448 40782 54376 81564 163128 204881 409762 614643 819524 1229286 1434167 1639048 2458572 2868334 4302501 4917144 5736668 8605002 11473336 17210004 34420008