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1334255104 = 2972134091
BaseRepresentation
bin100111110000111…
…0001111000000000
310102222122011220201
41033201301320000
510213032130404
6340221414544
745030660400
oct11741617000
93388564821
101334255104
11625174676
12312a0a454
1318356c980
14c92ba800
157c209ca4
hex4f871e00

1334255104 has 120 divisors (see below), whose sum is σ = 3340520568. Its totient is φ = 527708160.

The previous prime is 1334255101. The next prime is 1334255123. The reversal of 1334255104 is 4015524331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334255101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324099 + ... + 328189.

Almost surely, 21334255104 is an apocalyptic number.

1334255104 is a gapful number since it is divisible by the number (14) 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 1334255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670260284).

1334255104 is an abundant number, since it is smaller than the sum of its proper divisors (2006265464).

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

1334255104 is an equidigital number, since it uses as much as digits as its factorization.

1334255104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1334255104 is about 36527.4568509772. The cubic root of 1334255104 is about 1100.8959928458.

Adding to 1334255104 its reverse (4015524331), we get a palindrome (5349779435).

The spelling of 1334255104 in words is "one billion, three hundred thirty-four million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 4091 5096 5824 6272 6656 8182 10192 11648 12544 16364 20384 23296 25088 28637 32728 40768 46592 53183 57274 65456 81536 106366 114548 130912 163072 200459 212732 229096 261824 326144 372281 400918 425464 458192 523648 744562 801836 850928 916384 1047296 1489124 1603672 1701856 1832768 2094592 2605967 2978248 3207344 3403712 3665536 5211934 5956496 6414688 6807424 7331072 10423868 11912992 12829376 13614848 14662144 20847736 23825984 25658752 27229696 41695472 47651968 51317504 83390944 95303936 102635008 166781888 190607872 333563776 667127552 1334255104