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344977950 = 23525574129
BaseRepresentation
bin10100100011111…
…111001000011110
3220001010200210010
4110203333020132
51201303243300
654122024050
711356156422
oct2443771036
9801120703
10344977950
11167805049
1297648026
1356618385
1433b60b82
1520445a50
hex148ff21e

344977950 has 48 divisors (see below), whose sum is σ = 857288880. Its totient is φ = 91806720.

The previous prime is 344977909. The next prime is 344977961. The reversal of 344977950 is 59779443.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 344977950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81486 + ... + 85614.

It is an arithmetic number, because the mean of its divisors is an integer number (17860185).

Almost surely, 2344977950 is an apocalyptic number.

344977950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344977950 is an abundant number, since it is smaller than the sum of its proper divisors (512310930).

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

344977950 is a wasteful number, since it uses less digits than its factorization.

344977950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 344977950 is about 18573.5820454752. The cubic root of 344977950 is about 701.3429660588.

The spelling of 344977950 in words is "three hundred forty-four million, nine hundred seventy-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 557 1114 1671 2785 3342 4129 5570 8258 8355 12387 13925 16710 20645 24774 27850 41290 41775 61935 83550 103225 123870 206450 309675 619350 2299853 4599706 6899559 11499265 13799118 22998530 34497795 57496325 68995590 114992650 172488975 344977950