Search a number
-
+
33242970 = 2351958321
BaseRepresentation
bin111111011001…
…1111101011010
32022112220210010
41332303331122
532002233340
63144302350
7552363165
oct176637532
968486703
1033242970
1117845a32
12b1719b6
136b6c0c7
1445b4adc
152db9b80
hex1fb3f5a

33242970 has 32 divisors (see below), whose sum is σ = 83983680. Its totient is φ = 8398080.

The previous prime is 33242969. The next prime is 33243011. The reversal of 33242970 is 7924233.

It is a super-2 number, since 2×332429702 = 2210190108841800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28591 + ... + 29730.

It is an arithmetic number, because the mean of its divisors is an integer number (2624490).

Almost surely, 233242970 is an apocalyptic number.

33242970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33242970 is an abundant number, since it is smaller than the sum of its proper divisors (50740710).

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

33242970 is a wasteful number, since it uses less digits than its factorization.

33242970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58350.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 33242970 is about 5765.6716868028. The cubic root of 33242970 is about 321.5387155506.

It can be divided in two parts, 33 and 242970, that multiplied together give a triangular number (8018010 = T4004).

The spelling of 33242970 in words is "thirty-three million, two hundred forty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 58321 116642 174963 291605 349926 583210 874815 1108099 1749630 2216198 3324297 5540495 6648594 11080990 16621485 33242970