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1045012332 = 2237132932999
BaseRepresentation
bin111110010010011…
…001111101101100
32200211101010102110
4332102121331230
54120010343312
6251410124020
734616313120
oct7622317554
92624333373
101045012332
11496978261
12251b80610
1313866a2c0
149cb07580
1561b2343c
hex3e499f6c

1045012332 has 96 divisors (see below), whose sum is σ = 3104640000. Its totient is φ = 266095872.

The previous prime is 1045012277. The next prime is 1045012393. The reversal of 1045012332 is 2332105401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1045012299 and 1045012308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15169 + ... + 48167.

It is an arithmetic number, because the mean of its divisors is an integer number (32340000).

Almost surely, 21045012332 is an apocalyptic number.

1045012332 is a gapful number since it is divisible by the number (12) 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 1045012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552320000).

1045012332 is an abundant number, since it is smaller than the sum of its proper divisors (2059627668).

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

1045012332 is a wasteful number, since it uses less digits than its factorization.

1045012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33055 (or 33053 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1045012332 is about 32326.6504915062. The cubic root of 1045012332 is about 1014.7844534085.

Adding to 1045012332 its reverse (2332105401), we get a palindrome (3377117733).

The spelling of 1045012332 in words is "one billion, forty-five million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 174 182 203 273 348 364 377 406 546 609 754 812 1092 1131 1218 1508 2262 2436 2639 4524 5278 7917 10556 15834 31668 32999 65998 98997 131996 197994 230993 395988 428987 461986 692979 857974 923972 956971 1286961 1385958 1715948 1913942 2573922 2771916 2870913 3002909 3827884 5147844 5741826 6005818 6698797 9008727 11483652 12011636 12440623 13397594 18017454 20096391 24881246 26795188 36034908 37321869 40192782 49762492 74643738 80385564 87084361 149287476 174168722 261253083 348337444 522506166 1045012332