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349013556 = 22335954773
BaseRepresentation
bin10100110011011…
…000011000110100
3220022201201121000
4110303120120310
51203321413211
654344323300
711435365143
oct2463303064
9808651530
10349013556
1116a011061
1298a73530
13573cc1c8
14344d175a
1520991656
hex14cd8634

349013556 has 48 divisors (see below), whose sum is σ = 920203200. Its totient is φ = 114363936.

The previous prime is 349013501. The next prime is 349013557. The reversal of 349013556 is 655310943.

349013556 is a `hidden beast` number, since 3 + 4 + 90 + 13 + 556 = 666.

It is a super-4 number, since 4×3490135564 (a number of 35 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 349013556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349013557) 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 15 ways as a sum of consecutive naturals, for example, 21015 + ... + 33758.

It is an arithmetic number, because the mean of its divisors is an integer number (19170900).

Almost surely, 2349013556 is an apocalyptic number.

349013556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349013556 is an abundant number, since it is smaller than the sum of its proper divisors (571189644).

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

349013556 is a wasteful number, since it uses less digits than its factorization.

349013556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54845 (or 54837 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 349013556 is about 18681.9045067680. The cubic root of 349013556 is about 704.0671773232.

The spelling of 349013556 in words is "three hundred forty-nine million, thirteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 54773 109546 164319 219092 328638 492957 657276 985914 1478871 1971828 2957742 3231607 5915484 6463214 9694821 12926428 19389642 29084463 38779284 58168926 87253389 116337852 174506778 349013556