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33868740 = 223531131139
BaseRepresentation
bin1000000100110…
…0101111000100
32100201201011210
42001030233010
532132244430
63205531420
7560610453
oct201145704
970651153
1033868740
11181330a4
12b413b70
13702ab99
1446d8b9a
152e902b0
hex204cbc4

33868740 has 96 divisors (see below), whose sum is σ = 99348480. Its totient is φ = 8611200.

The previous prime is 33868721. The next prime is 33868753. The reversal of 33868740 is 4786833.

It is a super-2 number, since 2×338687402 = 2294183098375200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243591 + ... + 243729.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 233868740 is an apocalyptic number.

33868740 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 33868740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49674240).

33868740 is an abundant number, since it is smaller than the sum of its proper divisors (65479740).

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

33868740 is a wasteful number, since it uses less digits than its factorization.

33868740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 33868740 is about 5819.6855585160. The cubic root of 33868740 is about 323.5437489158.

The spelling of 33868740 in words is "thirty-three million, eight hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 131 139 155 186 262 278 310 372 393 417 465 524 556 620 655 695 786 834 930 1310 1390 1572 1668 1860 1965 2085 2620 2780 3930 4061 4170 4309 7860 8122 8340 8618 12183 12927 16244 17236 18209 20305 21545 24366 25854 36418 40610 43090 48732 51708 54627 60915 64635 72836 81220 86180 91045 109254 121830 129270 182090 218508 243660 258540 273135 364180 546270 564479 1092540 1128958 1693437 2257916 2822395 3386874 5644790 6773748 8467185 11289580 16934370 33868740