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1345345352 = 231379373439
BaseRepresentation
bin101000000110000…
…0101011101001000
310110202111121212122
41100030011131020
510223402022402
6341255230412
745224150441
oct12014053510
93422447778
101345345352
1163045996a
12316678408
13185953850
14ca9662c8
157d19aca2
hex50305748

1345345352 has 64 divisors (see below), whose sum is σ = 2764608000. Its totient is φ = 610032384.

The previous prime is 1345345349. The next prime is 1345345367. The reversal of 1345345352 is 2535435431.

It is a happy number.

It is a super-2 number, since 2×13453453522 = 3619908232296007808, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3064349 + ... + 3064787.

It is an arithmetic number, because the mean of its divisors is an integer number (43197000).

Almost surely, 21345345352 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 1345345352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382304000).

1345345352 is an abundant number, since it is smaller than the sum of its proper divisors (1419262648).

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

1345345352 is a wasteful number, since it uses less digits than its factorization.

1345345352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 906 counting only the distinct ones).

The product of its digits is 108000, while the sum is 35.

The square root of 1345345352 is about 36678.9497123350. The cubic root of 1345345352 is about 1103.9377743581.

The spelling of 1345345352 in words is "one billion, three hundred forty-five million, three hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 373 439 632 746 878 1027 1492 1756 2054 2984 3512 4108 4849 5707 8216 9698 11414 19396 22828 29467 34681 38792 45656 58934 69362 117868 138724 163747 235736 277448 327494 383071 450853 654988 766142 901706 1309976 1532284 1803412 2128711 3064568 3606824 4257422 8514844 12936013 17029688 25872026 51744052 103488104 168168169 336336338 672672676 1345345352