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11438304 = 253196271
BaseRepresentation
bin101011101000…
…100011100000
3210112010101220
4223220203200
510412011204
61045055040
7166136553
oct53504340
923463356
1011438304
116502849
1239b7480
1324a6437
14173a69a
15100e1d9
hexae88e0

11438304 has 48 divisors (see below), whose sum is σ = 31610880. Its totient is φ = 3611520.

The previous prime is 11438261. The next prime is 11438333. The reversal of 11438304 is 40383411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 211438304 is an apocalyptic number.

It is an amenable number.

11438304 is an abundant number, since it is smaller than the sum of its proper divisors (20172576).

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

11438304 is a wasteful number, since it uses less digits than its factorization.

11438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11438304 is about 3382.0561793087. The cubic root of 11438304 is about 225.3134987930.

The spelling of 11438304 in words is "eleven million, four hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 6271 12542 18813 25084 37626 50168 75252 100336 119149 150504 200672 238298 301008 357447 476596 602016 714894 953192 1429788 1906384 2859576 3812768 5719152 11438304