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34440417 = 3311611901
BaseRepresentation
bin1000001101100…
…0010011100001
32101210202101000
42003120103201
532304043132
63230102213
7565511244
oct203302341
971722330
1034440417
1118493660
12b64a969
13719b15b
14480725b
15305487c
hex20d84e1

34440417 has 32 divisors (see below), whose sum is σ = 56603520. Its totient is φ = 20520000.

The previous prime is 34440401. The next prime is 34440421. The reversal of 34440417 is 71404443.

It is not a de Polignac number, because 34440417 - 24 = 34440401 is a prime.

It is a super-2 number, since 2×344404172 = 2372284646267778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34440437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17167 + ... + 19067.

It is an arithmetic number, because the mean of its divisors is an integer number (1768860).

Almost surely, 234440417 is an apocalyptic number.

It is an amenable number.

34440417 is a deficient number, since it is larger than the sum of its proper divisors (22163103).

34440417 is a wasteful number, since it uses less digits than its factorization.

34440417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 34440417 is about 5868.5958286459. The cubic root of 34440417 is about 325.3539874752.

The spelling of 34440417 in words is "thirty-four million, four hundred forty thousand, four hundred seventeen".

Divisors: 1 3 9 11 27 33 61 99 183 297 549 671 1647 1901 2013 5703 6039 17109 18117 20911 51327 62733 115961 188199 347883 564597 1043649 1275571 3130947 3826713 11480139 34440417