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1134017688 = 23341971092
BaseRepresentation
bin100001110010111…
…1011110010011000
32221000212001211010
41003211323302120
54310302031223
6304305533520
740046664006
oct10345736230
92830761733
101134017688
1153213a301
122779442a0
13150c315ab
14aa875a76
1569855393
hex4397bc98

1134017688 has 96 divisors (see below), whose sum is σ = 2961297360. Its totient is φ = 361635840.

The previous prime is 1134017681. The next prime is 1134017707. The reversal of 1134017688 is 8867104311.

1134017688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11340176882 = 2571992233393730688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134017681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10403778 + ... + 10403886.

Almost surely, 21134017688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134017688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480648680).

1134017688 is an abundant number, since it is smaller than the sum of its proper divisors (1827279672).

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

1134017688 is a wasteful number, since it uses less digits than its factorization.

1134017688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1134017688 is about 33675.1791086551. The cubic root of 1134017688 is about 1042.8134153036.

The spelling of 1134017688 in words is "one billion, one hundred thirty-four million, seventeen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 97 109 123 164 194 218 246 291 327 328 388 436 492 582 654 776 872 984 1164 1308 2328 2616 3977 4469 7954 8938 10573 11881 11931 13407 15908 17876 21146 23762 23862 26814 31719 31816 35643 35752 42292 47524 47724 53628 63438 71286 84584 95048 95448 107256 126876 142572 253752 285144 433493 487121 866986 974242 1152457 1300479 1461363 1733972 1948484 2304914 2600958 2922726 3457371 3467944 3896968 4609828 5201916 5845452 6914742 9219656 10403832 11690904 13829484 27658968 47250737 94501474 141752211 189002948 283504422 378005896 567008844 1134017688