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1344065120 = 25522936683
BaseRepresentation
bin101000000011100…
…1100111001100000
310110200002120201122
41100013030321200
510223040040440
6341211551412
745210236126
oct12007147140
93420076648
101344065120
1162a765022
1231615b568
131855c5c08
14ca711916
157cee67b5
hex501cce60

1344065120 has 48 divisors (see below), whose sum is σ = 3189306960. Its totient is φ = 535263744.

The previous prime is 1344065119. The next prime is 1344065131. The reversal of 1344065120 is 215604431.

It is a super-2 number, since 2×13440651202 = 3613022093601228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1344065120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18299 + ... + 54981.

It is an arithmetic number, because the mean of its divisors is an integer number (66443895).

Almost surely, 21344065120 is an apocalyptic number.

1344065120 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 1344065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594653480).

1344065120 is an abundant number, since it is smaller than the sum of its proper divisors (1845241840).

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

1344065120 is a wasteful number, since it uses less digits than its factorization.

1344065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36927 (or 36919 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1344065120 is about 36661.4936957020. The cubic root of 1344065120 is about 1103.5874937906.

Adding to 1344065120 its reverse (215604431), we get a palindrome (1559669551).

The spelling of 1344065120 in words is "one billion, three hundred forty-four million, sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 916 1145 1832 2290 3664 4580 7328 9160 18320 36640 36683 73366 146732 183415 293464 366830 586928 733660 1173856 1467320 2934640 5869280 8400407 16800814 33601628 42002035 67203256 84004070 134406512 168008140 268813024 336016280 672032560 1344065120