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1334243120 = 24572838419
BaseRepresentation
bin100111110000110…
…1110111100110000
310102222121120110212
41033201232330300
510213031234440
6340221243252
745030610430
oct11741567460
93388546425
101334243120
11625166671
12312a03528
13183567392
14c92b62c0
157c206465
hex4f86ef30

1334243120 has 80 divisors (see below), whose sum is σ = 3558224640. Its totient is φ = 455784192.

The previous prime is 1334243117. The next prime is 1334243171. The reversal of 1334243120 is 213424331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154271 + ... + 162689.

It is an arithmetic number, because the mean of its divisors is an integer number (44477808).

Almost surely, 21334243120 is an apocalyptic number.

1334243120 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 1334243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779112320).

1334243120 is an abundant number, since it is smaller than the sum of its proper divisors (2223981520).

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

1334243120 is a wasteful number, since it uses less digits than its factorization.

1334243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1334243120 is about 36527.2928096239. The cubic root of 1334243120 is about 1100.8926968301.

Adding to 1334243120 its reverse (213424331), we get a palindrome (1547667451).

The spelling of 1334243120 in words is "one billion, three hundred thirty-four million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 283 560 566 1132 1415 1981 2264 2830 3962 4528 5660 7924 8419 9905 11320 15848 16838 19810 22640 31696 33676 39620 42095 58933 67352 79240 84190 117866 134704 158480 168380 235732 294665 336760 471464 589330 673520 942928 1178660 2357320 2382577 4714640 4765154 9530308 11912885 16678039 19060616 23825770 33356078 38121232 47651540 66712156 83390195 95303080 133424312 166780390 190606160 266848624 333560780 667121560 1334243120