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1045434112 = 2819372157
BaseRepresentation
bin111110010100000…
…000111100000000
32200212011112222221
4332110000330000
54120112342422
6251423140424
734623020602
oct7624007400
92625145887
101045434112
11497136138
12252144714
13138787288
149cbb7172
1561ba83c7
hex3e500f00

1045434112 has 108 divisors (see below), whose sum is σ = 2271967320. Its totient is φ = 478752768.

The previous prime is 1045434073. The next prime is 1045434121. The reversal of 1045434112 is 2114345401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6658738 + ... + 6658894.

Almost surely, 21045434112 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 1045434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135983660).

1045434112 is an abundant number, since it is smaller than the sum of its proper divisors (1226533208).

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

1045434112 is an equidigital number, since it uses as much as digits as its factorization.

1045434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1045434112 is about 32333.1735528698. The cubic root of 1045434112 is about 1014.9209615952.

Adding to 1045434112 its reverse (2114345401), we get a palindrome (3159779513).

The spelling of 1045434112 in words is "one billion, forty-five million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 157 256 296 304 314 592 608 628 703 1184 1216 1256 1369 1406 2368 2432 2512 2738 2812 2983 4736 4864 5024 5476 5624 5809 5966 9472 10048 10952 11248 11618 11932 20096 21904 22496 23236 23864 26011 40192 43808 44992 46472 47728 52022 87616 89984 92944 95456 104044 110371 175232 179968 185888 190912 208088 214933 220742 350464 371776 381824 416176 429866 441484 743552 763648 832352 859732 882968 1487104 1664704 1719464 1765936 3329408 3438928 3531872 4083727 6658816 6877856 7063744 8167454 13755712 14127488 16334908 27511424 28254976 32669816 55022848 65339632 130679264 261358528 522717056 1045434112