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2343989472 = 253118772531
BaseRepresentation
bin1000101110110110…
…0111000011100000
320001100122000001220
42023231213003200
514300030130342
61024331455040
7112041403356
oct21355470340
96040560056
102343989472
11aa3136a90
12554bb7480
132b4807826
1418343d7d6
15dabb05ec
hex8bb670e0

2343989472 has 96 divisors (see below), whose sum is σ = 6722642304. Its totient is φ = 709209600.

The previous prime is 2343989449. The next prime is 2343989503. The reversal of 2343989472 is 2749893432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924847 + ... + 927377.

It is an arithmetic number, because the mean of its divisors is an integer number (70027524).

Almost surely, 22343989472 is an apocalyptic number.

2343989472 is a gapful number since it is divisible by the number (22) 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 2343989472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361321152).

2343989472 is an abundant number, since it is smaller than the sum of its proper divisors (4378652832).

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

2343989472 is a wasteful number, since it uses less digits than its factorization.

2343989472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3424 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 2343989472 is about 48414.7650206009. The cubic root of 2343989472 is about 1328.3684502883.

The spelling of 2343989472 in words is "two billion, three hundred forty-three million, nine hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 877 1056 1754 2531 2631 3508 5062 5262 7016 7593 9647 10124 10524 14032 15186 19294 20248 21048 27841 28064 28941 30372 38588 40496 42096 55682 57882 60744 77176 80992 83523 84192 111364 115764 121488 154352 167046 222728 231528 242976 308704 334092 445456 463056 668184 890912 926112 1336368 2219687 2672736 4439374 6659061 8878748 13318122 17757496 24416557 26636244 35514992 48833114 53272488 71029984 73249671 97666228 106544976 146499342 195332456 213089952 292998684 390664912 585997368 781329824 1171994736 2343989472