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344339905 = 57213731481
BaseRepresentation
bin10100100001100…
…011010111000001
3212222221021112211
4110201203113001
51201122334110
654100222121
711350561300
oct2441432701
9788837484
10344339905
11167409738
129739a941
1356453b30
1433a36437
152036b98a
hex148635c1

344339905 has 48 divisors (see below), whose sum is σ = 525090384. Its totient is φ = 214824960.

The previous prime is 344339899. The next prime is 344339927. The reversal of 344339905 is 509933443.

It can be written as a sum of positive squares in 8 ways, for example, as 24216241 + 320123664 = 4921^2 + 17892^2 .

It is not a de Polignac number, because 344339905 - 25 = 344339873 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231765 + ... + 233245.

It is an arithmetic number, because the mean of its divisors is an integer number (10939383).

Almost surely, 2344339905 is an apocalyptic number.

344339905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344339905 is a deficient number, since it is larger than the sum of its proper divisors (180750479).

344339905 is a wasteful number, since it uses less digits than its factorization.

344339905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The square root of 344339905 is about 18556.3979532667. The cubic root of 344339905 is about 700.9103156660.

The spelling of 344339905 in words is "three hundred forty-four million, three hundred thirty-nine thousand, nine hundred five".

Divisors: 1 5 7 13 35 49 65 73 91 245 365 455 511 637 949 1481 2555 3185 3577 4745 6643 7405 10367 17885 19253 33215 46501 51835 72569 96265 108113 134771 232505 362845 540565 673855 756791 943397 1405469 3783955 4716985 5297537 7027345 9838283 26487685 49191415 68867981 344339905