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1345723820 = 225783115811
BaseRepresentation
bin101000000110110…
…0001110110101100
310110210012212000222
41100031201312230
510224001130240
6341311310512
745230315030
oct12015416654
93423185028
101345723820
11630698251
1231681b438
13185a56bac
14caa241c0
157d222eb5
hex50361dac

1345723820 has 48 divisors (see below), whose sum is σ = 3268677888. Its totient is φ = 455828160.

The previous prime is 1345723817. The next prime is 1345723823. The reversal of 1345723820 is 283275431.

It is an interprime number because it is at equal distance from previous prime (1345723817) and next prime (1345723823).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1345723823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46286 + ... + 69525.

It is an arithmetic number, because the mean of its divisors is an integer number (68097456).

Almost surely, 21345723820 is an apocalyptic number.

1345723820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345723820 is an abundant number, since it is smaller than the sum of its proper divisors (1922954068).

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

1345723820 is a wasteful number, since it uses less digits than its factorization.

1345723820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115910 (or 115908 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 1345723820 is about 36684.1085485255. The cubic root of 1345723820 is about 1104.0412833316.

The spelling of 1345723820 in words is "one billion, three hundred forty-five million, seven hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 115811 231622 463244 579055 810677 1158110 1621354 2316220 3242708 4053385 8106770 9612313 16213540 19224626 38449252 48061565 67286191 96123130 134572382 192246260 269144764 336430955 672861910 1345723820