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344168090 = 257192311251
BaseRepresentation
bin10100100000111…
…001011010011010
3212222121112212022
4110200321122122
51201101334330
654052414442
711346244340
oct2440713232
9788545768
10344168090
11167301642
1297317422
13563c3876
14339cd990
1520335ae5
hex1483969a

344168090 has 64 divisors (see below), whose sum is σ = 777738240. Its totient is φ = 106920000.

The previous prime is 344168089. The next prime is 344168119. The reversal of 344168090 is 90861443.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 344168090.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24965 + ... + 36215.

It is an arithmetic number, because the mean of its divisors is an integer number (12152160).

Almost surely, 2344168090 is an apocalyptic number.

344168090 is an abundant number, since it is smaller than the sum of its proper divisors (433570150).

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

344168090 is a wasteful number, since it uses less digits than its factorization.

344168090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 344168090 is about 18551.7678402895. The cubic root of 344168090 is about 700.7937187226.

The spelling of 344168090 in words is "three hundred forty-four million, one hundred sixty-eight thousand, ninety".

Divisors: 1 2 5 7 10 14 19 23 35 38 46 70 95 115 133 161 190 230 266 322 437 665 805 874 1330 1610 2185 3059 4370 6118 11251 15295 22502 30590 56255 78757 112510 157514 213769 258773 393785 427538 517546 787570 1068845 1293865 1496383 1811411 2137690 2587730 2992766 3622822 4916687 7481915 9057055 9833374 14963830 18114110 24583435 34416809 49166870 68833618 172084045 344168090