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348739056 = 24329724967
BaseRepresentation
bin10100110010010…
…101010111110000
3220022012210001100
4110302111113300
51203234122211
654334404400
711433142641
oct2462252760
9808183040
10348739056
111699438a6
1298960700
1357334293
143445d6c8
152093a156
hex14c955f0

348739056 has 60 divisors (see below), whose sum is σ = 986086192. Its totient is φ = 115043328.

The previous prime is 348739051. The next prime is 348739063. The reversal of 348739056 is 650937843.

It is a super-2 number, since 2×3487390562 = 243237858359542272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348739051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485 + ... + 26451.

Almost surely, 2348739056 is an apocalyptic number.

348739056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348739056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493043096).

348739056 is an abundant number, since it is smaller than the sum of its proper divisors (637347136).

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

348739056 is a wasteful number, since it uses less digits than its factorization.

348739056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25078 (or 25069 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 348739056 is about 18674.5563802731. The cubic root of 348739056 is about 703.8825454016.

The spelling of 348739056 in words is "three hundred forty-eight million, seven hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 24967 49934 74901 99868 149802 199736 224703 299604 399472 449406 599208 898812 1198416 1797624 2421799 3595248 4843598 7265397 9687196 14530794 19374392 21796191 29061588 38748784 43592382 58123176 87184764 116246352 174369528 348739056