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1334040678 = 23419941381
BaseRepresentation
bin100111110000011…
…1101100001100110
310102222020021210000
41033200331201212
510213003300203
6340213042130
745026105265
oct11740754146
93388207700
101334040678
11625038563
12312926346
131834c61a9
14c92625dc
157c1b64a3
hex4f83d866

1334040678 has 40 divisors (see below), whose sum is σ = 3004333200. Its totient is φ = 442434960.

The previous prime is 1334040667. The next prime is 1334040679. The reversal of 1334040678 is 8760404331.

1334040678 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334040679) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11548 + ... + 52928.

It is an arithmetic number, because the mean of its divisors is an integer number (75108330).

Almost surely, 21334040678 is an apocalyptic number.

1334040678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334040678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502166600).

1334040678 is an abundant number, since it is smaller than the sum of its proper divisors (1670292522).

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

1334040678 is a wasteful number, since it uses less digits than its factorization.

1334040678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41594 (or 41585 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1334040678 is about 36524.5215985097. The cubic root of 1334040678 is about 1100.8370152759.

The spelling of 1334040678 in words is "one billion, three hundred thirty-four million, forty thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 398 597 1194 1791 3582 5373 10746 16119 32238 41381 82762 124143 248286 372429 744858 1117287 2234574 3351861 6703722 8234819 16469638 24704457 49408914 74113371 148226742 222340113 444680226 667020339 1334040678