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961514340 = 2235532111433
BaseRepresentation
bin111001010011111…
…000101101100100
32111000020222201020
4321103320231210
53432121424330
6235224331140
732553510543
oct7123705544
92430228636
10961514340
11453827a56
1222a013ab0
131242839c7
14919b015a
155962d210
hex394f8b64

961514340 has 96 divisors (see below), whose sum is σ = 2757960576. Its totient is φ = 250199040.

The previous prime is 961514303. The next prime is 961514347. The reversal of 961514340 is 43415169.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (961514347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670264 + ... + 671696.

It is an arithmetic number, because the mean of its divisors is an integer number (28728756).

Almost surely, 2961514340 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 961514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378980288).

961514340 is an abundant number, since it is smaller than the sum of its proper divisors (1796446236).

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

961514340 is a wasteful number, since it uses less digits than its factorization.

961514340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 961514340 is about 31008.2946967420. The cubic root of 961514340 is about 987.0032632834.

The spelling of 961514340 in words is "nine hundred sixty-one million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 211 212 265 318 422 530 633 636 795 844 1055 1060 1266 1433 1590 2110 2532 2866 3165 3180 4220 4299 5732 6330 7165 8598 11183 12660 14330 17196 21495 22366 28660 33549 42990 44732 55915 67098 75949 85980 111830 134196 151898 167745 223660 227847 302363 303796 335490 379745 455694 604726 670980 759490 907089 911388 1139235 1209452 1511815 1518980 1814178 2278470 3023630 3628356 4535445 4556940 6047260 9070890 16025239 18141780 32050478 48075717 64100956 80126195 96151434 160252390 192302868 240378585 320504780 480757170 961514340