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1334179980 = 22325759131137
BaseRepresentation
bin100111110000101…
…1111100010001100
310102222111100212100
41033201133202030
510213022224410
6340220035100
745030225360
oct11741374214
93388440770
101334179980
11625123191
12312992a90
13183544713
14c929b2a0
157c1e28c0
hex4f85f88c

1334179980 has 288 divisors, whose sum is σ = 4774049280. Its totient is φ = 295326720.

The previous prime is 1334179937. The next prime is 1334179991. The reversal of 1334179980 is 899714331.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9738472 + ... + 9738608.

It is an arithmetic number, because the mean of its divisors is an integer number (16576560).

Almost surely, 21334179980 is an apocalyptic number.

1334179980 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 1334179980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387024640).

1334179980 is an abundant number, since it is smaller than the sum of its proper divisors (3439869300).

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

1334179980 is a wasteful number, since it uses less digits than its factorization.

1334179980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1334179980 is about 36526.4285141594. The cubic root of 1334179980 is about 1100.8753308143.

The spelling of 1334179980 in words is "one billion, three hundred thirty-four million, one hundred seventy-nine thousand, nine hundred eighty".