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11834004 = 22371310837
BaseRepresentation
bin101101001001…
…001010010100
3211021020012110
4231021022110
511012142004
61101351020
7202405320
oct55111224
924236173
1011834004
116753076
123b68470
1325b4590
141800980
15108b589
hexb49294

11834004 has 48 divisors (see below), whose sum is σ = 33987968. Its totient is φ = 3120768.

The previous prime is 11834003. The next prime is 11834047. The reversal of 11834004 is 40043811.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11834003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327 + ... + 6510.

Almost surely, 211834004 is an apocalyptic number.

11834004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11834004 is an abundant number, since it is smaller than the sum of its proper divisors (22153964).

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

11834004 is a wasteful number, since it uses less digits than its factorization.

11834004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10864 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11834004 is about 3440.0587204291. The cubic root of 11834004 is about 227.8822876526.

Adding to 11834004 its reverse (40043811), we get a palindrome (51877815).

The spelling of 11834004 in words is "eleven million, eight hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 10837 21674 32511 43348 65022 75859 130044 140881 151718 227577 281762 303436 422643 455154 563524 845286 910308 986167 1690572 1972334 2958501 3944668 5917002 11834004