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1341296640 = 21232519383
BaseRepresentation
bin100111111110010…
…1001000000000000
310110110212221002100
41033330221000000
510221332443030
6341032350400
745144555555
oct11774510000
93413787070
101341296640
11629144022
12315245400
13184b66a68
14ca1d0a2c
157cb4b360
hex4ff29000

1341296640 has 312 divisors, whose sum is σ = 4906736640. Its totient is φ = 337969152.

The previous prime is 1341296639. The next prime is 1341296641. The reversal of 1341296640 is 466921431.

1341296640 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 9 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1341296639) and next prime (1341296641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1341296595 and 1341296604.

It is not an unprimeable number, because it can be changed into a prime (1341296641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3501889 + ... + 3502271.

It is an arithmetic number, because the mean of its divisors is an integer number (15726720).

Almost surely, 21341296640 is an apocalyptic number.

1341296640 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 1341296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453368320).

1341296640 is an abundant number, since it is smaller than the sum of its proper divisors (3565440000).

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

1341296640 is a wasteful number, since it uses less digits than its factorization.

1341296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1341296640 is about 36623.7169058521. The cubic root of 1341296640 is about 1102.8292567118.

The spelling of 1341296640 in words is "one billion, three hundred forty-one million, two hundred ninety-six thousand, six hundred forty".