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349507755 = 325193371213
BaseRepresentation
bin10100110101010…
…001000010101011
3220100122211111200
4110311101002223
51203433222010
654403055243
711442524022
oct2465210253
9810584450
10349507755
1116a319393
1299071523
135754312c
14345bd8b9
1520a3ccc0
hex14d510ab

349507755 has 48 divisors (see below), whose sum is σ = 640117920. Its totient is φ = 175924224.

The previous prime is 349507751. The next prime is 349507783. The reversal of 349507755 is 557705943.

It is not a de Polignac number, because 349507755 - 22 = 349507751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 349507755.

It is not an unprimeable number, because it can be changed into a prime (349507751) 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 47 ways as a sum of consecutive naturals, for example, 287529 + ... + 288741.

It is an arithmetic number, because the mean of its divisors is an integer number (13335790).

Almost surely, 2349507755 is an apocalyptic number.

349507755 is a deficient number, since it is larger than the sum of its proper divisors (290610165).

349507755 is a wasteful number, since it uses less digits than its factorization.

349507755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 349507755 is about 18695.1265039849. The cubic root of 349507755 is about 704.3993374809.

The spelling of 349507755 in words is "three hundred forty-nine million, five hundred seven thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 337 855 1011 1213 1685 3033 3639 5055 6065 6403 10917 15165 18195 19209 23047 32015 54585 57627 69141 96045 115235 207423 288135 345705 408781 1037115 1226343 2043905 3679029 6131715 7766839 18395145 23300517 38834195 69901551 116502585 349507755