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1338912 = 25324649
BaseRepresentation
bin101000110111000100000
32112000122100
411012320200
5320321122
644410400
714244351
oct5067040
92460570
101338912
11834a43
12546a00
1337b573
1426bd28
151b6aac
hex146e20

1338912 has 36 divisors (see below), whose sum is σ = 3808350. Its totient is φ = 446208.

The previous prime is 1338907. The next prime is 1338923. The reversal of 1338912 is 2198331.

It can be written as a sum of positive squares in only one way, i.e., 767376 + 571536 = 876^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2037 + ... + 2612.

21338912 is an apocalyptic number.

1338912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1338912 is an abundant number, since it is smaller than the sum of its proper divisors (2469438).

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

1338912 is a wasteful number, since it uses less digits than its factorization.

1338912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4654 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1338912 is about 1157.1136504251. The cubic root of 1338912 is about 110.2175309696.

It can be divided in two parts, 133 and 8912, that added together give a triangular number (9045 = T134).

The spelling of 1338912 in words is "one million, three hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4649 9298 13947 18596 27894 37192 41841 55788 74384 83682 111576 148768 167364 223152 334728 446304 669456 1338912