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11303964 = 22327311447
BaseRepresentation
bin101011000111…
…110000011100
3210021022010100
4223013300130
510343211324
61042141100
7165040110
oct53076034
923238110
1011303964
116420921
123951790
13245a249
141703740
15ed44c9
hexac7c1c

11303964 has 72 divisors (see below), whose sum is σ = 33732608. Its totient is φ = 3123360.

The previous prime is 11303911. The next prime is 11303989. The reversal of 11303964 is 46930311.

11303964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113039643 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7089 + ... + 8535.

Almost surely, 211303964 is an apocalyptic number.

11303964 is a gapful number since it is divisible by the number (14) 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 11303964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866304).

11303964 is an abundant number, since it is smaller than the sum of its proper divisors (22428644).

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

11303964 is a wasteful number, since it uses less digits than its factorization.

11303964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 11303964 is about 3362.1368205354. The cubic root of 11303964 is about 224.4279393658.

The spelling of 11303964 in words is "eleven million, three hundred three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1447 1953 2604 2894 3906 4341 5788 7812 8682 10129 13023 17364 20258 26046 30387 40516 44857 52092 60774 89714 91161 121548 134571 179428 182322 269142 313999 364644 403713 538284 627998 807426 941997 1255996 1614852 1883994 2825991 3767988 5651982 11303964