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34442919 = 3271015413
BaseRepresentation
bin1000001101100…
…0111010100111
32101210212210200
42003120322213
532304133134
63230121543
7565521450
oct203307247
971725720
1034442919
1118495525
12b6502b3
13719c334
144808127
153055499
hex20d8ea7

34442919 has 24 divisors (see below), whose sum is σ = 57431712. Its totient is φ = 19483200.

The previous prime is 34442917. The next prime is 34442921. The reversal of 34442919 is 91924443.

34442919 = 15622 + 15632 + ... + 15752.

34442919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34442917) and next prime (34442921).

It is not a de Polignac number, because 34442919 - 21 = 34442917 is a prime.

It is a super-2 number, since 2×344429192 = 2372629338481122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3657 + ... + 9069.

It is an arithmetic number, because the mean of its divisors is an integer number (2392988).

Almost surely, 234442919 is an apocalyptic number.

34442919 is a deficient number, since it is larger than the sum of its proper divisors (22988793).

34442919 is a wasteful number, since it uses less digits than its factorization.

34442919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5524 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34442919 is about 5868.8089933137. The cubic root of 34442919 is about 325.3618659702.

The spelling of 34442919 in words is "thirty-four million, four hundred forty-two thousand, nine hundred nineteen".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 5413 6363 16239 37891 48717 113673 341019 546713 1640139 3826991 4920417 11480973 34442919