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1334014720 = 28523113401
BaseRepresentation
bin100111110000011…
…0111001100000000
310102222011222011121
41033200313030000
510213001432340
6340212322024
745025636513
oct11740671400
93388158147
101334014720
11625020005
12312913314
131834b742c
14c9256d7a
157c1ad94a
hex4f837300

1334014720 has 144 divisors (see below), whose sum is σ = 3372207552. Its totient is φ = 504627200.

The previous prime is 1334014709. The next prime is 1334014727. The reversal of 1334014720 is 274104331.

It is not an unprimeable number, because it can be changed into a prime (1334014727) 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 15 ways as a sum of consecutive naturals, for example, 3326520 + ... + 3326920.

It is an arithmetic number, because the mean of its divisors is an integer number (23418108).

Almost surely, 21334014720 is an apocalyptic number.

1334014720 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 1334014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686103776).

1334014720 is an abundant number, since it is smaller than the sum of its proper divisors (2038192832).

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

1334014720 is a wasteful number, since it uses less digits than its factorization.

1334014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 1334014720 is about 36524.1662464730. The cubic root of 1334014720 is about 1100.8298751357.

The spelling of 1334014720 in words is "one billion, three hundred thirty-four million, fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 113 115 128 160 184 226 230 256 320 368 401 452 460 565 640 736 802 904 920 1130 1280 1472 1604 1808 1840 2005 2260 2599 2944 3208 3616 3680 4010 4520 5198 5888 6416 7232 7360 8020 9040 9223 10396 12832 12995 14464 14720 16040 18080 18446 20792 25664 25990 28928 29440 32080 36160 36892 41584 45313 46115 51328 51980 64160 72320 73784 83168 90626 92230 102656 103960 128320 144640 147568 166336 181252 184460 207920 226565 256640 295136 332672 362504 368920 415840 453130 513280 590272 665344 725008 737840 831680 906260 1042199 1180544 1450016 1475680 1663360 1812520 2084398 2361088 2900032 2951360 3326720 3625040 4168796 5210995 5800064 5902720 7250080 8337592 10421990 11600128 11805440 14500160 16675184 20843980 29000320 33350368 41687960 58000640 66700736 83375920 133401472 166751840 266802944 333503680 667007360 1334014720