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1341601920 = 27335174567
BaseRepresentation
bin100111111110111…
…0011100010000000
310110111110102212000
41033331303202000
510221422230140
6341043104000
745150266601
oct11775634200
93414412760
101341601920
1162933241a
12315372000
13184c429b9
14ca26dda8
157cbaba30
hex4ff73880

1341601920 has 256 divisors, whose sum is σ = 5032108800. Its totient is φ = 336642048.

The previous prime is 1341601909. The next prime is 1341601949. The reversal of 1341601920 is 291061431.

1341601920 is a `hidden beast` number, since 1 + 34 + 1 + 601 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291477 + ... + 296043.

It is an arithmetic number, because the mean of its divisors is an integer number (19656675).

Almost surely, 21341601920 is an apocalyptic number.

1341601920 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 1341601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516054400).

1341601920 is an abundant number, since it is smaller than the sum of its proper divisors (3690506880).

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

1341601920 is a wasteful number, since it uses less digits than its factorization.

1341601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1341601920 is about 36627.8844597937. The cubic root of 1341601920 is about 1102.9129185871.

The spelling of 1341601920 in words is "one billion, three hundred forty-one million, six hundred one thousand, nine hundred twenty".