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2034864 = 2432131087
BaseRepresentation
bin111110000110010110000
310211101022100
413300302300
51010103424
6111340400
723203356
oct7606260
93741270
102034864
11116a907
12821700
13563280
143ad7d6
152a2dc9
hex1f0cb0

2034864 has 60 divisors (see below), whose sum is σ = 6138496. Its totient is φ = 625536.

The previous prime is 2034841. The next prime is 2034869. The reversal of 2034864 is 4684302.

It is not an unprimeable number, because it can be changed into a prime (2034869) 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, 1329 + ... + 2415.

22034864 is an apocalyptic number.

2034864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069248).

2034864 is an abundant number, since it is smaller than the sum of its proper divisors (4103632).

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

2034864 is a wasteful number, since it uses less digits than its factorization.

2034864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2034864 is about 1426.4865929969. The cubic root of 2034864 is about 126.7199898607.

The spelling of 2034864 in words is "two million, thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1087 1872 2174 3261 4348 6522 8696 9783 13044 14131 17392 19566 26088 28262 39132 42393 52176 56524 78264 84786 113048 127179 156528 169572 226096 254358 339144 508716 678288 1017432 2034864