[go: up one dir, main page]

Search a number
-
+
33474840 = 2335725693
BaseRepresentation
bin111111110110…
…0100100011000
32022222200211220
41333230210120
532032143330
63153252040
7554350200
oct177544430
968880756
1033474840
1117994163
12b264020
136c207c9
144635400
152e13710
hex1fec918

33474840 has 96 divisors (see below), whose sum is σ = 116840880. Its totient is φ = 7650048.

The previous prime is 33474829. The next prime is 33474841. The reversal of 33474840 is 4847433.

It is a super-2 number, since 2×334748402 = 2241129826051200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33474841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3034 + ... + 8726.

Almost surely, 233474840 is an apocalyptic number.

33474840 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 33474840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58420440).

33474840 is an abundant number, since it is smaller than the sum of its proper divisors (83366040).

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

33474840 is a wasteful number, since it uses less digits than its factorization.

33474840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 33474840 is about 5785.7445501854. The cubic root of 33474840 is about 322.2845625628.

The spelling of 33474840 in words is "thirty-three million, four hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5693 5880 11386 17079 22772 28465 34158 39851 45544 56930 68316 79702 85395 113860 119553 136632 159404 170790 199255 227720 239106 278957 318808 341580 398510 478212 557914 597765 683160 797020 836871 956424 1115828 1195530 1394785 1594040 1673742 2231656 2391060 2789570 3347484 4184355 4782120 5579140 6694968 8368710 11158280 16737420 33474840