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1341417480 = 23351319167271
BaseRepresentation
bin100111111110100…
…0110100000001000
310110111010001211220
41033331012200020
510221400324410
6341035122040
745145601064
oct11775064010
93414101756
101341417480
11629216897
123152a3320
13184ba9a70
14ca222aa4
157cb72070
hex4ff46808

1341417480 has 256 divisors, whose sum is σ = 4606156800. Its totient is φ = 309795840.

The previous prime is 1341417457. The next prime is 1341417481. The reversal of 1341417480 is 847141431.

It is not an unprimeable number, because it can be changed into a prime (1341417481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4949745 + ... + 4950015.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 21341417480 is an apocalyptic number.

1341417480 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 1341417480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303078400).

1341417480 is an abundant number, since it is smaller than the sum of its proper divisors (3264739320).

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

1341417480 is a wasteful number, since it uses less digits than its factorization.

1341417480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1341417480 is about 36625.3666193255. The cubic root of 1341417480 is about 1102.8623743886.

The spelling of 1341417480 in words is "one billion, three hundred forty-one million, four hundred seventeen thousand, four hundred eighty".