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340113960 = 233257911959
BaseRepresentation
bin10100010001011…
…011101000101000
3212200222120122100
4110101123220220
51144032121320
653425453400
711266630614
oct2421335050
9780876570
10340113960
11164a9271a
1295aa1260
1355604484
1433256344
151ecd4790
hex1445ba28

340113960 has 96 divisors (see below), whose sum is σ = 1119456000. Its totient is φ = 89541504.

The previous prime is 340113929. The next prime is 340114009. The reversal of 340113960 is 69311043.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22461 + ... + 34419.

It is an arithmetic number, because the mean of its divisors is an integer number (11661000).

Almost surely, 2340113960 is an apocalyptic number.

340113960 is a gapful number since it is divisible by the number (30) 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 340113960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559728000).

340113960 is an abundant number, since it is smaller than the sum of its proper divisors (779342040).

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

340113960 is a wasteful number, since it uses less digits than its factorization.

340113960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12055 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 340113960 is about 18442.1788300624. The cubic root of 340113960 is about 698.0311751442.

The spelling of 340113960 in words is "three hundred forty million, one hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 11959 14220 23918 28440 35877 47836 59795 71754 95672 107631 119590 143508 179385 215262 239180 287016 358770 430524 478360 538155 717540 861048 944761 1076310 1435080 1889522 2152620 2834283 3779044 4305240 4723805 5668566 7558088 8502849 9447610 11337132 14171415 17005698 18895220 22674264 28342830 34011396 37790440 42514245 56685660 68022792 85028490 113371320 170056980 340113960