Search a number
-
+
33412974 = 2372334589
BaseRepresentation
bin111111101110…
…1011101101110
32022212112222120
41333131131232
532023203344
63152053410
7554001630
oct177353556
968775876
1033412974
1117951731
12b234266
136bcb5ba
14461aa50
152e00219
hex1fdd76e

33412974 has 32 divisors (see below), whose sum is σ = 79695360. Its totient is φ = 9131232.

The previous prime is 33412957. The next prime is 33412979. The reversal of 33412974 is 47921433.

It is a super-2 number, since 2×334129742 = 2232853663049352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33412979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16329 + ... + 18260.

It is an arithmetic number, because the mean of its divisors is an integer number (2490480).

Almost surely, 233412974 is an apocalyptic number.

33412974 is an abundant number, since it is smaller than the sum of its proper divisors (46282386).

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

33412974 is a wasteful number, since it uses less digits than its factorization.

33412974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34624.

The product of its digits is 18144, while the sum is 33.

The square root of 33412974 is about 5780.3956611983. The cubic root of 33412974 is about 322.0858984083.

The spelling of 33412974 in words is "thirty-three million, four hundred twelve thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 34589 69178 103767 207534 242123 484246 726369 795547 1452738 1591094 2386641 4773282 5568829 11137658 16706487 33412974