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1345213640 = 235891792111
BaseRepresentation
bin101000000101110…
…0101010011001000
310110202020221012102
41100023211103020
510223333314030
6341252332532
745223061441
oct12013452310
93422227172
101345213640
11630379a11
12316614148
13185908904
14ca9302c8
157d171c45
hex502e54c8

1345213640 has 64 divisors (see below), whose sum is σ = 3079296000. Its totient is φ = 528816640.

The previous prime is 1345213613. The next prime is 1345213669. The reversal of 1345213640 is 463125431.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636185 + ... + 638295.

It is an arithmetic number, because the mean of its divisors is an integer number (48114000).

Almost surely, 21345213640 is an apocalyptic number.

1345213640 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 1345213640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539648000).

1345213640 is an abundant number, since it is smaller than the sum of its proper divisors (1734082360).

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

1345213640 is a wasteful number, since it uses less digits than its factorization.

1345213640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1345213640 is about 36677.1541971293. The cubic root of 1345213640 is about 1103.9017472772.

The spelling of 1345213640 in words is "one billion, three hundred forty-five million, two hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 179 356 358 445 712 716 890 895 1432 1780 1790 2111 3560 3580 4222 7160 8444 10555 15931 16888 21110 31862 42220 63724 79655 84440 127448 159310 187879 318620 375758 377869 637240 751516 755738 939395 1503032 1511476 1878790 1889345 3022952 3757580 3778690 7515160 7557380 15114760 33630341 67260682 134521364 168151705 269042728 336303410 672606820 1345213640