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1334202320 = 245114136979
BaseRepresentation
bin100111110000110…
…0100111111010000
310102222112111111202
41033201210333100
510213023433240
6340220330332
745030350453
oct11741447720
93388474452
101334202320
11625138a50
123129a39a8
13183551939
14c92a549a
157c1e9315
hex4f864fd0

1334202320 has 80 divisors (see below), whose sum is σ = 3466653120. Its totient is φ = 473318400.

The previous prime is 1334202299. The next prime is 1334202379. The reversal of 1334202320 is 232024331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1334202292 and 1334202301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17591 + ... + 54569.

It is an arithmetic number, because the mean of its divisors is an integer number (43333164).

Almost surely, 21334202320 is an apocalyptic number.

1334202320 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 1334202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733326560).

1334202320 is an abundant number, since it is smaller than the sum of its proper divisors (2132450800).

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

1334202320 is a wasteful number, since it uses less digits than its factorization.

1334202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37044 (or 37038 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1334202320 is about 36526.7343188520. The cubic root of 1334202320 is about 1100.8814752671.

Adding to 1334202320 its reverse (232024331), we get a palindrome (1566226651).

The spelling of 1334202320 in words is "one billion, three hundred thirty-four million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 36080 36979 73958 147916 184895 295832 369790 406769 591664 739580 813538 1479160 1516139 1627076 2033845 2958320 3032278 3254152 4067690 6064556 6508304 7580695 8135380 12129112 15161390 16270760 16677529 24258224 30322780 32541520 33355058 60645560 66710116 83387645 121291120 133420232 166775290 266840464 333550580 667101160 1334202320