Search a number
-
+
3296972112 = 2437172191787
BaseRepresentation
bin1100010010000011…
…1100110101010000
322111202211112111020
43010200330311100
523223011101422
61303053315440
7144462541410
oct30440746520
98452745436
103296972112
111442066a45
12780195b80
13407092095
14233c2c640
151446a595c
hexc483cd50

3296972112 has 240 divisors, whose sum is σ = 10890493440. Its totient is φ = 839448576.

The previous prime is 3296972111. The next prime is 3296972123. The reversal of 3296972112 is 2112796923.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3296972111) 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 47 ways as a sum of consecutive naturals, for example, 1844083 + ... + 1845869.

It is an arithmetic number, because the mean of its divisors is an integer number (45377056).

Almost surely, 23296972112 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 3296972112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445246720).

3296972112 is an abundant number, since it is smaller than the sum of its proper divisors (7593521328).

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

3296972112 is a wasteful number, since it uses less digits than its factorization.

3296972112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1835 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 3296972112 is about 57419.2660350165. The cubic root of 3296972112 is about 1488.3500664981.

The spelling of 3296972112 in words is "three billion, two hundred ninety-six million, nine hundred seventy-two thousand, one hundred twelve".