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1340300040 = 233553210739
BaseRepresentation
bin100111111100011…
…0101101100001000
310110102000022000020
41033320311230020
510221104100130
6340555140440
745133235202
oct11770655410
93412008006
101340300040
11628623292
12314a44720
131848a8261
14ca011772
157ca00e10
hex4fe35b08

1340300040 has 64 divisors (see below), whose sum is σ = 4096785600. Its totient is φ = 350668032.

The previous prime is 1340300023. The next prime is 1340300057. The reversal of 1340300040 is 400030431.

It is an interprime number because it is at equal distance from previous prime (1340300023) and next prime (1340300057).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1340299992 and 1340300019.

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, 99010 + ... + 111729.

It is an arithmetic number, because the mean of its divisors is an integer number (64012275).

Almost surely, 21340300040 is an apocalyptic number.

1340300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340300040 is an abundant number, since it is smaller than the sum of its proper divisors (2756485560).

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

1340300040 is a wasteful number, since it uses less digits than its factorization.

1340300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210806 (or 210802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1340300040 is about 36610.1084401563. The cubic root of 1340300040 is about 1102.5560504409.

Adding to 1340300040 its reverse (400030431), we get a palindrome (1740330471).

The spelling of 1340300040 in words is "one billion, three hundred forty million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 210739 421478 632217 842956 1053695 1264434 1685912 2107390 2528868 3161085 4214780 5057736 6322170 8429560 11169167 12644340 22338334 25288680 33507501 44676668 55845835 67015002 89353336 111691670 134030004 167537505 223383340 268060008 335075010 446766680 670150020 1340300040