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1334013240 = 233572307739
BaseRepresentation
bin100111110000011…
…0110110100111000
310102222011220010210
41033200312310320
510213001410430
6340212311120
745025632300
oct11740666470
93388156123
101334013240
1162501998a
123129124a0
131834b6861
14c9256600
157c1ad2b0
hex4f836d38

1334013240 has 192 divisors, whose sum is σ = 4676918400. Its totient is φ = 303512832.

The previous prime is 1334013227. The next prime is 1334013293. The reversal of 1334013240 is 423104331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1804791 + ... + 1805529.

It is an arithmetic number, because the mean of its divisors is an integer number (24358950).

Almost surely, 21334013240 is an apocalyptic number.

1334013240 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 1334013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338459200).

1334013240 is an abundant number, since it is smaller than the sum of its proper divisors (3342905160).

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

1334013240 is a wasteful number, since it uses less digits than its factorization.

1334013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1334013240 is about 36524.1459859091. The cubic root of 1334013240 is about 1100.8294680365.

Adding to 1334013240 its reverse (423104331), we get a palindrome (1757117571).

The spelling of 1334013240 in words is "one billion, three hundred thirty-four million, thirteen thousand, two hundred forty".