Search a number
-
+
33370372 = 2272891913
BaseRepresentation
bin111111101001…
…1000100000100
32022210101112201
41333103010010
532020322442
63151124244
7553433500
oct177230404
968711481
1033370372
1117922722
12b213684
136bb50a9
144609300
152de27b7
hex1fd3104

33370372 has 36 divisors (see below), whose sum is σ = 68731740. Its totient is φ = 14133504.

The previous prime is 33370367. The next prime is 33370373. The reversal of 33370372 is 27307333.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 15256836 = 4256^2 + 3906^2 .

It is a super-2 number, since 2×333703722 = 2227163454836768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33370372.

It is not an unprimeable number, because it can be changed into a prime (33370373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16488 + ... + 18400.

It is an arithmetic number, because the mean of its divisors is an integer number (1909215).

Almost surely, 233370372 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 33370372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34365870).

33370372 is an abundant number, since it is smaller than the sum of its proper divisors (35361368).

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

33370372 is a wasteful number, since it uses less digits than its factorization.

33370372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 28.

The square root of 33370372 is about 5776.7094439655. The cubic root of 33370372 is about 321.9489522101.

The spelling of 33370372 in words is "thirty-three million, three hundred seventy thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 1913 2492 3826 4361 7652 8722 13391 17444 26782 53564 93737 170257 187474 340514 374948 681028 1191799 2383598 4767196 8342593 16685186 33370372