Search a number
-
+
33790416 = 2431163997
BaseRepresentation
bin1000000011100…
…1100111010000
32100120201201220
42000321213100
532122243131
63204125040
7560133222
oct200714720
970521656
1033790416
111808a270
12b396780
13700133a
1446b8412
152e76e96
hex20399d0

33790416 has 40 divisors (see below), whose sum is σ = 95229024. Its totient is φ = 10239360.

The previous prime is 33790411. The next prime is 33790429. The reversal of 33790416 is 61409733.

It is a super-2 number, since 2×337904162 = 2283584426906112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33790411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31471 + ... + 32526.

Almost surely, 233790416 is an apocalyptic number.

It is an amenable number.

33790416 is an abundant number, since it is smaller than the sum of its proper divisors (61438608).

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

33790416 is a wasteful number, since it uses less digits than its factorization.

33790416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64019 (or 64013 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 33790416 is about 5812.9524340046. The cubic root of 33790416 is about 323.2941500208.

The spelling of 33790416 in words is "thirty-three million, seven hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 63997 127994 191991 255988 383982 511976 703967 767964 1023952 1407934 1535928 2111901 2815868 3071856 4223802 5631736 8447604 11263472 16895208 33790416