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2993432 = 2313107269
BaseRepresentation
bin1011011010110100011000
312122002012212
423122310120
51231242212
6144054252
734305131
oct13326430
95562185
102993432
111765012
121004388
1380a680
1457cc88
153e1e22
hex2dad18

2993432 has 32 divisors (see below), whose sum is σ = 6123600. Its totient is φ = 1363584.

The previous prime is 2993423. The next prime is 2993437. The reversal of 2993432 is 2343992.

2993432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10994 + ... + 11262.

22993432 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 2993432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061800).

2993432 is an abundant number, since it is smaller than the sum of its proper divisors (3130168).

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

2993432 is a wasteful number, since it uses less digits than its factorization.

2993432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 2993432 is about 1730.1537503933. The cubic root of 2993432 is about 144.1196279578.

The spelling of 2993432 in words is "two million, nine hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 107 214 269 428 538 856 1076 1391 2152 2782 3497 5564 6994 11128 13988 27976 28783 57566 115132 230264 374179 748358 1496716 2993432