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1314382440 = 233571564741
BaseRepresentation
bin100111001010111…
…1110001001101000
310101121020112202010
41032111332021220
510142440214230
6334231435520
744400031530
oct11625761150
93347215663
101314382440
11614a30a88
12308225ba0
1317c4024b7
14c67c64c0
157a5d19b0
hex4e57e268

1314382440 has 64 divisors (see below), whose sum is σ = 4506456960. Its totient is φ = 300430080.

The previous prime is 1314382427. The next prime is 1314382477. The reversal of 1314382440 is 442834131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1314382398 and 1314382407.

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, 781531 + ... + 783210.

It is an arithmetic number, because the mean of its divisors is an integer number (70413390).

Almost surely, 21314382440 is an apocalyptic number.

1314382440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314382440 is an abundant number, since it is smaller than the sum of its proper divisors (3192074520).

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

1314382440 is a wasteful number, since it uses less digits than its factorization.

1314382440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564762 (or 1564758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1314382440 is about 36254.4126969394. The cubic root of 1314382440 is about 1095.4029750525.

The spelling of 1314382440 in words is "one billion, three hundred fourteen million, three hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1564741 3129482 4694223 6258964 7823705 9388446 10953187 12517928 15647410 18776892 21906374 23471115 31294820 32859561 37553784 43812748 46942230 54765935 62589640 65719122 87625496 93884460 109531870 131438244 164297805 187768920 219063740 262876488 328595610 438127480 657191220 1314382440