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30683840 = 2651123379
BaseRepresentation
bin111010100001…
…1001011000000
32010201220022112
41311003023000
530323340330
63013354452
7521544155
oct165031300
963656275
1030683840
1116358250
12a338a28
136484325
14410a22c
152a61795
hex1d432c0

30683840 has 112 divisors (see below), whose sum is σ = 83393280. Its totient is φ = 10644480.

The previous prime is 30683813. The next prime is 30683843. The reversal of 30683840 is 4838603.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 30683797 and 30683806.

It is not an unprimeable number, because it can be changed into a prime (30683843) 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, 80771 + ... + 81149.

Almost surely, 230683840 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 30683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

30683840 is an abundant number, since it is smaller than the sum of its proper divisors (52709440).

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

30683840 is a wasteful number, since it uses less digits than its factorization.

30683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 30683840 is about 5539.2995947141. The cubic root of 30683840 is about 313.0664797019.

The spelling of 30683840 in words is "thirty million, six hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 379 440 460 506 704 736 758 880 920 1012 1265 1472 1516 1760 1840 1895 2024 2530 3032 3520 3680 3790 4048 4169 5060 6064 7360 7580 8096 8338 8717 10120 12128 15160 16192 16676 17434 20240 20845 24256 30320 33352 34868 40480 41690 43585 60640 66704 69736 80960 83380 87170 95887 121280 133408 139472 166760 174340 191774 266816 278944 333520 348680 383548 479435 557888 667040 697360 767096 958870 1334080 1394720 1534192 1917740 2789440 3068384 3835480 6136768 7670960 15341920 30683840