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3059680344 = 2337216132
BaseRepresentation
bin1011011001011111…
…0000010001011000
321220020022212101020
42312113300101120
522231234232334
61223335322440
7135551565600
oct26627602130
97806285336
103059680344
111330123146
12714820420
13399b7bb56
142104ddc00
1512d931e49
hexb65f0458

3059680344 has 72 divisors (see below), whose sum is σ = 8903569860. Its totient is φ = 873652416.

The previous prime is 3059680303. The next prime is 3059680367. The reversal of 3059680344 is 4430869503.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3059680296 and 3059680305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1896082 + ... + 1897694.

Almost surely, 23059680344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3059680344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451784930).

3059680344 is an abundant number, since it is smaller than the sum of its proper divisors (5843889516).

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

3059680344 is an equidigital number, since it uses as much as digits as its factorization.

3059680344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3059680344 is about 55314.3773715297. The cubic root of 3059680344 is about 1451.7506155192.

The spelling of 3059680344 in words is "three billion, fifty-nine million, six hundred eighty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1613 3226 4839 6452 9678 11291 12904 19356 22582 33873 38712 45164 67746 79037 90328 135492 158074 237111 270984 316148 474222 632296 948444 1896888 2601769 5203538 7805307 10407076 15610614 18212383 20814152 31221228 36424766 54637149 62442456 72849532 109274298 127486681 145699064 218548596 254973362 382460043 437097192 509946724 764920086 1019893448 1529840172 3059680344