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349613424 = 243214291699
BaseRepresentation
bin10100110101101…
…010110101110000
3220100212012110100
4110311222311300
51204000112144
654405232400
711443444056
oct2465526560
9810765410
10349613424
1116a390816
1299102700
135757c264
143460a1d6
1520a5e269
hex14d6ad70

349613424 has 60 divisors (see below), whose sum is σ = 979693000. Its totient is φ = 116387712.

The previous prime is 349613417. The next prime is 349613431. The reversal of 349613424 is 424316943.

It is a happy number.

349613424 is a `hidden beast` number, since 34 + 9 + 613 + 4 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (349613417) and next prime (349613431).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204927 + ... + 206625.

Almost surely, 2349613424 is an apocalyptic number.

It is an amenable number.

349613424 is an abundant number, since it is smaller than the sum of its proper divisors (630079576).

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

349613424 is a wasteful number, since it uses less digits than its factorization.

349613424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3133 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 349613424 is about 18697.9524012658. The cubic root of 349613424 is about 704.4703189040.

The spelling of 349613424 in words is "three hundred forty-nine million, six hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1429 1699 2858 3398 4287 5097 5716 6796 8574 10194 11432 12861 13592 15291 17148 20388 22864 25722 27184 30582 34296 40776 51444 61164 68592 81552 102888 122328 205776 244656 2427871 4855742 7283613 9711484 14567226 19422968 21850839 29134452 38845936 43701678 58268904 87403356 116537808 174806712 349613424