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336460240 = 24537197577
BaseRepresentation
bin10100000011011…
…111100111010000
3212110002221200101
4110003133213100
51142113211430
653215302144
711223602434
oct2403374720
9773087611
10336460240
11162a17616
129481a954
13549253cc
14329849c4
151e811dca
hex140df9d0

336460240 has 80 divisors (see below), whose sum is σ = 808890192. Its totient is φ = 130056192.

The previous prime is 336460213. The next prime is 336460249. The reversal of 336460240 is 42064633.

336460240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 182898576 + 153561664 = 13524^2 + 12392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3364602402 = 226410986201715200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336460199 and 336460208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336460249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582832 + ... + 583408.

Almost surely, 2336460240 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 336460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404445096).

336460240 is an abundant number, since it is smaller than the sum of its proper divisors (472429952).

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

336460240 is a wasteful number, since it uses less digits than its factorization.

336460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 336460240 is about 18342.8525589669. The cubic root of 336460240 is about 695.5226060819.

The spelling of 336460240 in words is "three hundred thirty-six million, four hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 197 296 370 394 577 592 740 788 985 1154 1480 1576 1970 2308 2885 2960 3152 3940 4616 5770 7289 7880 9232 11540 14578 15760 21349 23080 29156 36445 42698 46160 58312 72890 85396 106745 113669 116624 145780 170792 213490 227338 291560 341584 426980 454676 568345 583120 853960 909352 1136690 1707920 1818704 2273380 4205753 4546760 8411506 9093520 16823012 21028765 33646024 42057530 67292048 84115060 168230120 336460240