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1334801376 = 253317194783
BaseRepresentation
bin100111110001111…
…0111001111100000
310110000122221021000
41033203313033200
510213202121001
6340241232000
745035424126
oct11743671740
93400587230
101334801376
11625508037
12313032600
131837014cc
14c93bd916
157c2b6a86
hex4f8f73e0

1334801376 has 192 divisors, whose sum is σ = 4340044800. Its totient is φ = 396638208.

The previous prime is 1334801341. The next prime is 1334801431. The reversal of 1334801376 is 6731084331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1334801376.

It is a congruent number.

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, 276681 + ... + 281463.

It is an arithmetic number, because the mean of its divisors is an integer number (22604400).

Almost surely, 21334801376 is an apocalyptic number.

1334801376 is a gapful number since it is divisible by the number (16) 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 1334801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170022400).

1334801376 is an abundant number, since it is smaller than the sum of its proper divisors (3005243424).

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

1334801376 is a wasteful number, since it uses less digits than its factorization.

1334801376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1334801376 is about 36534.9336389161. The cubic root of 1334801376 is about 1101.0462156427.

The spelling of 1334801376 in words is "one billion, three hundred thirty-four million, eight hundred one thousand, three hundred seventy-six".