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1345355112 = 233172316257
BaseRepresentation
bin101000000110000…
…0111110101101000
310110202112010021010
41100030013311220
510223402330422
6341255343520
745224221053
oct12014076550
93422463233
101345355112
11630466232
12316681ba0
1318595811a
14ca969a9a
157d19db0c
hex50307d68

1345355112 has 96 divisors (see below), whose sum is σ = 3688715520. Its totient is φ = 408391680.

The previous prime is 1345355107. The next prime is 1345355131. The reversal of 1345355112 is 2115535431.

It is a self number, because there is not a number n which added to its sum of digits gives 1345355112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211888 + ... + 218144.

It is an arithmetic number, because the mean of its divisors is an integer number (38424120).

Almost surely, 21345355112 is an apocalyptic number.

1345355112 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 1345355112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844357760).

1345355112 is an abundant number, since it is smaller than the sum of its proper divisors (2343360408).

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

1345355112 is a wasteful number, since it uses less digits than its factorization.

1345355112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6310 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 1345355112 is about 36679.0827584333. The cubic root of 1345355112 is about 1103.9404439097.

The spelling of 1345355112 in words is "one billion, three hundred forty-five million, three hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 289 372 408 527 578 744 867 1054 1156 1581 1734 2108 2312 3162 3468 4216 6257 6324 6936 8959 12514 12648 17918 18771 25028 26877 35836 37542 50056 53754 71672 75084 106369 107508 150168 193967 212738 215016 319107 387934 425476 581901 638214 775868 850952 1163802 1276428 1551736 1808273 2327604 2552856 3297439 3616546 4655208 5424819 6594878 7233092 9892317 10849638 13189756 14466184 19784634 21699276 26379512 39569268 43398552 56056463 79138536 112112926 168169389 224225852 336338778 448451704 672677556 1345355112