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1345343600 = 245223257569
BaseRepresentation
bin101000000110000…
…0101000001110000
310110202111112110202
41100030011001300
510223401443400
6341255214332
745224142356
oct12014050160
93422445422
101345343600
11630458617
123166773a8
13185952b03
14ca9657d6
157d19a4d5
hex50305070

1345343600 has 120 divisors (see below), whose sum is σ = 3391791840. Its totient is φ = 511836160.

The previous prime is 1345343567. The next prime is 1345343617. The reversal of 1345343600 is 63435431.

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, 2364116 + ... + 2364684.

It is an arithmetic number, because the mean of its divisors is an integer number (28264932).

Almost surely, 21345343600 is an apocalyptic number.

1345343600 is a gapful number since it is divisible by the number (10) 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 1345343600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695895920).

1345343600 is an abundant number, since it is smaller than the sum of its proper divisors (2046448240).

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

1345343600 is a wasteful number, since it uses less digits than its factorization.

1345343600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 1345343600 is about 36678.9258294187. The cubic root of 1345343600 is about 1103.9372951503.

The spelling of 1345343600 in words is "one billion, three hundred forty-five million, three hundred forty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 257 368 400 460 514 569 575 920 1028 1138 1150 1285 1840 2056 2276 2300 2570 2845 4112 4552 4600 5140 5690 5911 6425 9104 9200 10280 11380 11822 12850 13087 14225 20560 22760 23644 25700 26174 28450 29555 45520 47288 51400 52348 56900 59110 65435 94576 102800 104696 113800 118220 130870 146233 147775 209392 227600 236440 261740 292466 295550 327175 472880 523480 584932 591100 654350 731165 1046960 1169864 1182200 1308700 1462330 2339728 2364400 2617400 2924660 3363359 3655825 5234800 5849320 6726718 7311650 11698640 13453436 14623300 16816795 26906872 29246600 33633590 53813744 58493200 67267180 84083975 134534360 168167950 269068720 336335900 672671800 1345343600