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1334120700 = 2235211523773
BaseRepresentation
bin100111110000101…
…0001000011111100
310102222101100112210
41033201101003330
510213013330300
6340214500420
745026560503
oct11741210374
93388340483
101334120700
116250926a0
12312964710
13183523743
14c928383a
157c1d0050
hex4f8510fc

1334120700 has 144 divisors (see below), whose sum is σ = 4224479616. Its totient is φ = 322387200.

The previous prime is 1334120687. The next prime is 1334120707. The reversal of 1334120700 is 70214331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334120707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725514 + ... + 1726286.

It is an arithmetic number, because the mean of its divisors is an integer number (29336664).

Almost surely, 21334120700 is an apocalyptic number.

1334120700 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 1334120700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112239808).

1334120700 is an abundant number, since it is smaller than the sum of its proper divisors (2890358916).

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

1334120700 is a wasteful number, since it uses less digits than its factorization.

1334120700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1334120700 is about 36525.6170379092. The cubic root of 1334120700 is about 1100.8590259536.

The spelling of 1334120700 in words is "one billion, three hundred thirty-four million, one hundred twenty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 523 550 660 773 825 1046 1100 1546 1569 1650 2092 2319 2615 3092 3138 3300 3865 4638 5230 5753 6276 7730 7845 8503 9276 10460 11506 11595 13075 15460 15690 17006 17259 19325 23012 23190 25509 26150 28765 31380 34012 34518 38650 39225 42515 46380 51018 52300 57530 57975 69036 77300 78450 85030 86295 102036 115060 115950 127545 143825 156900 170060 172590 212575 231900 255090 287650 345180 404279 425150 431475 510180 575300 637725 808558 850300 862950 1212837 1275450 1617116 1725900 2021395 2425674 2550900 4042790 4447069 4851348 6064185 8085580 8894138 10106975 12128370 13341207 17788276 20213950 22235345 24256740 26682414 30320925 40427900 44470690 53364828 60641850 66706035 88941380 111176725 121283700 133412070 222353450 266824140 333530175 444706900 667060350 1334120700