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2043264 = 27317313
BaseRepresentation
bin111110010110110000000
310211210211110
413302312000
51010341024
6111443320
723240016
oct7626600
93753743
102043264
111176153
12826540
13567042
143b28b6
152a5629
hex1f2d80

2043264 has 64 divisors (see below), whose sum is σ = 5765040. Its totient is φ = 638976.

The previous prime is 2043259. The next prime is 2043269. The reversal of 2043264 is 4623402.

It is an interprime number because it is at equal distance from previous prime (2043259) and next prime (2043269).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2043264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043269) 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, 6372 + ... + 6684.

22043264 is an apocalyptic number.

2043264 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 2043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882520).

2043264 is an abundant number, since it is smaller than the sum of its proper divisors (3721776).

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

2043264 is a wasteful number, since it uses less digits than its factorization.

2043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2043264 is about 1429.4278575710. The cubic root of 2043264 is about 126.8941188722.

Adding to 2043264 its reverse (4623402), we get a palindrome (6666666).

It can be divided in two parts, 204 and 3264, that multiplied together give a square (665856 = 8162).

The spelling of 2043264 in words is "two million, forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 313 384 408 544 626 816 939 1088 1252 1632 1878 2176 2504 3264 3756 5008 5321 6528 7512 10016 10642 15024 15963 20032 21284 30048 31926 40064 42568 60096 63852 85136 120192 127704 170272 255408 340544 510816 681088 1021632 2043264