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336479640 = 233571723563
BaseRepresentation
bin10100000011100…
…100010110011000
3212110010221021220
4110003210112120
51142114322030
653215532040
711224013130
oct2403442630
9773127256
10336479640
11162a30152
129482a020
13549311a3
143298bac0
151e817a10
hex140e4598

336479640 has 128 divisors (see below), whose sum is σ = 1221557760. Its totient is φ = 72382464.

The previous prime is 336479609. The next prime is 336479641. The reversal of 336479640 is 46974633.

It is a super-2 number, since 2×3364796402 = 226437096269059200, which contains 22 as substring.

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 = 336479592 and 336479601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336479641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2499 + ... + 26061.

It is an arithmetic number, because the mean of its divisors is an integer number (9543420).

Almost surely, 2336479640 is an apocalyptic number.

336479640 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 336479640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610778880).

336479640 is an abundant number, since it is smaller than the sum of its proper divisors (885078120).

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

336479640 is a wasteful number, since it uses less digits than its factorization.

336479640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23601 (or 23597 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 336479640 is about 18343.3813676759. The cubic root of 336479640 is about 695.5359735645.

The spelling of 336479640 in words is "three hundred thirty-six million, four hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 23563 47126 70689 94252 117815 141378 164941 188504 235630 282756 329882 353445 400571 471260 494823 565512 659764 706890 801142 824705 942520 989646 1201713 1319528 1413780 1602284 1649410 1979292 2002855 2403426 2474115 2803997 2827560 3204568 3298820 3958584 4005710 4806852 4948230 5607994 6008565 6597640 8011420 8411991 9613704 9896460 11215988 12017130 14019985 16022840 16823982 19792920 22431976 24034260 28039970 33647964 42059955 48068520 56079940 67295928 84119910 112159880 168239820 336479640