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34211408 = 2472113967
BaseRepresentation
bin1000001010000…
…0011001010000
32101101010020012
42002200121100
532224231113
63221134052
7563535500
oct202403120
971333205
1034211408
11183475a0
12b55a328
13711ab4a
144787a00
15300baa8
hex20a0650

34211408 has 60 divisors (see below), whose sum is σ = 84137472. Its totient is φ = 13325760.

The previous prime is 34211369. The next prime is 34211449. The reversal of 34211408 is 80411243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6641 + ... + 10607.

Almost surely, 234211408 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 34211408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42068736).

34211408 is an abundant number, since it is smaller than the sum of its proper divisors (49926064).

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

34211408 is a wasteful number, since it uses less digits than its factorization.

34211408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 34211408 is about 5849.0518889817. The cubic root of 34211408 is about 324.6312440828.

The spelling of 34211408 in words is "thirty-four million, two hundred eleven thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 3967 4312 7934 8624 15868 27769 31736 43637 55538 63472 87274 111076 174548 194383 222152 305459 349096 388766 444304 610918 698192 777532 1221836 1555064 2138213 2443672 3110128 4276426 4887344 8552852 17105704 34211408