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1376846340 = 223529791291
BaseRepresentation
bin101001000010001…
…0000001000000100
310112221210001002220
41102010100020010
510304433040330
6344342332340
746056000162
oct12204201004
93487701086
101376846340
11647215041
1232512a0b0
1318c332a9c
14d0c06232
1580d1e710
hex52110204

1376846340 has 48 divisors (see below), whose sum is σ = 3988111680. Its totient is φ = 354497920.

The previous prime is 1376846333. The next prime is 1376846347. The reversal of 1376846340 is 436486731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1376846333) and next prime (1376846347).

It is a junction number, because it is equal to n+sod(n) for n = 1376846292 and 1376846301.

It is not an unprimeable number, because it can be changed into a prime (1376846347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393906 + ... + 397385.

It is an arithmetic number, because the mean of its divisors is an integer number (83085660).

Almost surely, 21376846340 is an apocalyptic number.

1376846340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1376846340 is an abundant number, since it is smaller than the sum of its proper divisors (2611265340).

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

1376846340 is a wasteful number, since it uses less digits than its factorization.

1376846340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791332 (or 791330 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 1376846340 is about 37105.8801270095. The cubic root of 1376846340 is about 1112.4875467192.

The spelling of 1376846340 in words is "one billion, three hundred seventy-six million, eight hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 791291 1582582 2373873 3165164 3956455 4747746 7912910 9495492 11869365 15825820 22947439 23738730 45894878 47477460 68842317 91789756 114737195 137684634 229474390 275369268 344211585 458948780 688423170 1376846340