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1344137088 = 27371014951
BaseRepresentation
bin101000000011101…
…1110011110000000
310110200020020110010
41100013132132000
510223044341323
6341213304520
745210656010
oct12007363600
93420206403
101344137088
1162a8040a8
12316195140
1318561c8b8
14ca72dc40
157d00cc93
hex501de780

1344137088 has 128 divisors (see below), whose sum is σ = 4121648640. Its totient is φ = 380160000.

The previous prime is 1344137077. The next prime is 1344137099. The reversal of 1344137088 is 8807314431.

It is an interprime number because it is at equal distance from previous prime (1344137077) and next prime (1344137099).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13441370882 = 3613409022674239488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 269013 + ... + 273963.

It is an arithmetic number, because the mean of its divisors is an integer number (32200380).

Almost surely, 21344137088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344137088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060824320).

1344137088 is an abundant number, since it is smaller than the sum of its proper divisors (2777511552).

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

1344137088 is a wasteful number, since it uses less digits than its factorization.

1344137088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1344137088 is about 36662.4752028556. The cubic root of 1344137088 is about 1103.6071906456.

The spelling of 1344137088 in words is "one billion, three hundred forty-four million, one hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 303 336 384 404 448 606 672 707 808 896 1212 1344 1414 1616 2121 2424 2688 2828 3232 4242 4848 4951 5656 6464 8484 9696 9902 11312 12928 14853 16968 19392 19804 22624 29706 33936 34657 38784 39608 45248 59412 67872 69314 79216 90496 103971 118824 135744 138628 158432 207942 237648 271488 277256 316864 415884 475296 500051 554512 633728 831768 950592 1000102 1109024 1500153 1663536 1901184 2000204 2218048 3000306 3327072 3500357 4000408 4436096 6000612 6654144 7000714 8000816 10501071 12001224 13308288 14001428 16001632 21002142 24002448 28002856 32003264 42004284 48004896 56005712 64006528 84008568 96009792 112011424 168017136 192019584 224022848 336034272 448045696 672068544 1344137088