[go: up one dir, main page]

Search a number
-
+
33314372 = 22713194817
BaseRepresentation
bin111111100010…
…1011001000100
32022200112201122
41333011121010
532012024442
63150013112
7553111310
oct177053104
968615648
1033314372
1117894643
12b1a7198
136b95760
1445d2b40
152dd0dd2
hex1fc5644

33314372 has 48 divisors (see below), whose sum is σ = 75546240. Its totient is φ = 12483072.

The previous prime is 33314371. The next prime is 33314383. The reversal of 33314372 is 27341333.

33314372 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×333143722 = 2219694763508768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33314371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4508 + ... + 9324.

It is an arithmetic number, because the mean of its divisors is an integer number (1573880).

Almost surely, 233314372 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 33314372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37773120).

33314372 is an abundant number, since it is smaller than the sum of its proper divisors (42231868).

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

33314372 is a wasteful number, since it uses less digits than its factorization.

33314372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4858 counting only the distinct ones).

The product of its digits is 4536, while the sum is 26.

The square root of 33314372 is about 5771.8603586712. The cubic root of 33314372 is about 321.7687600739.

The spelling of 33314372 in words is "thirty-three million, three hundred fourteen thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 3458 4817 6916 9634 19268 33719 62621 67438 91523 125242 134876 183046 250484 366092 438347 640661 876694 1189799 1281322 1753388 2379598 2562644 4759196 8328593 16657186 33314372