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1134768024 = 2332138831373
BaseRepresentation
bin100001110100011…
…0010111110011000
32221002021012002100
41003220302332120
54311000034044
6304334003400
740056240405
oct10350627630
92832235070
101134768024
11532602015
12278046560
13151134c90
14aa9cd2ac
1569952869
hex43a32f98

1134768024 has 96 divisors (see below), whose sum is σ = 3315901680. Its totient is φ = 348509952.

The previous prime is 1134767993. The next prime is 1134768109. The reversal of 1134768024 is 4208674311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1134768024.

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, 825802 + ... + 827174.

Almost surely, 21134768024 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 1134768024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657950840).

1134768024 is an abundant number, since it is smaller than the sum of its proper divisors (2181133656).

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

1134768024 is a wasteful number, since it uses less digits than its factorization.

1134768024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1134768024 is about 33686.3180534768. The cubic root of 1134768024 is about 1043.0433611395.

The spelling of 1134768024 in words is "one billion, one hundred thirty-four million, seven hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 883 936 1373 1766 2649 2746 3532 4119 5298 5492 7064 7947 8238 10596 10984 11479 12357 15894 16476 17849 21192 22958 24714 31788 32952 34437 35698 45916 49428 53547 63576 68874 71396 91832 98856 103311 107094 137748 142792 160641 206622 214188 275496 321282 413244 428376 642564 826488 1212359 1285128 2424718 3637077 4849436 7274154 9698872 10911231 14548308 15760667 21822462 29096616 31521334 43644924 47282001 63042668 87289848 94564002 126085336 141846003 189128004 283692006 378256008 567384012 1134768024