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1343627240 = 235831014007
BaseRepresentation
bin101000000010110…
…0001111111101000
310110122021100001212
41100011201333220
510222432032430
6341154332252
745203433404
oct12005417750
93418240055
101343627240
1162a49603a
12315b8a088
131854a1807
14ca63a104
157ce5bb95
hex50161fe8

1343627240 has 64 divisors (see below), whose sum is σ = 3090648960. Its totient is φ = 525587200.

The previous prime is 1343627239. The next prime is 1343627251. The reversal of 1343627240 is 427263431.

It is a junction number, because it is equal to n+sod(n) for n = 1343627197 and 1343627206.

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, 333317 + ... + 337323.

It is an arithmetic number, because the mean of its divisors is an integer number (48291390).

Almost surely, 21343627240 is an apocalyptic number.

1343627240 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 1343627240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545324480).

1343627240 is an abundant number, since it is smaller than the sum of its proper divisors (1747021720).

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

1343627240 is a wasteful number, since it uses less digits than its factorization.

1343627240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 1343627240 is about 36655.5212757915. The cubic root of 1343627240 is about 1103.4676356647.

The spelling of 1343627240 in words is "one billion, three hundred forty-three million, six hundred twenty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 101 166 202 332 404 415 505 664 808 830 1010 1660 2020 3320 4007 4040 8014 8383 16028 16766 20035 32056 33532 40070 41915 67064 80140 83830 160280 167660 332581 335320 404707 665162 809414 1330324 1618828 1662905 2023535 2660648 3237656 3325810 4047070 6651620 8094140 13303240 16188280 33590681 67181362 134362724 167953405 268725448 335906810 671813620 1343627240