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1344023952 = 243232411291
BaseRepresentation
bin101000000011100…
…0010110110010000
310110200000111020220
41100013002312100
510223032231302
6341211033040
745210005115
oct12007026620
93420014226
101344023952
1162a7370a7
1231613b780
131855b025b
14ca70090c
157ced94bc
hex501c2d90

1344023952 has 120 divisors (see below), whose sum is σ = 3720991008. Its totient is φ = 417753600.

The previous prime is 1344023917. The next prime is 1344023959. The reversal of 1344023952 is 2593204431.

It is not an unprimeable number, because it can be changed into a prime (1344023959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040427 + ... + 1041717.

Almost surely, 21344023952 is an apocalyptic number.

1344023952 is a gapful number since it is divisible by the number (12) 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 1344023952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860495504).

1344023952 is an abundant number, since it is smaller than the sum of its proper divisors (2376967056).

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

1344023952 is a wasteful number, since it uses less digits than its factorization.

1344023952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1344023952 is about 36660.9322303730. The cubic root of 1344023952 is about 1103.5762262429.

The spelling of 1344023952 in words is "one billion, three hundred forty-four million, twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 529 552 656 943 984 1058 1104 1291 1587 1886 1968 2116 2582 2829 3174 3772 3873 4232 5164 5658 6348 7544 7746 8464 10328 11316 12696 15088 15492 20656 21689 22632 25392 29693 30984 43378 45264 52931 59386 61968 65067 86756 89079 105862 118772 130134 158793 173512 178158 211724 237544 260268 317586 347024 356316 423448 475088 520536 635172 682939 712632 846896 1041072 1217413 1270344 1365878 1425264 2048817 2434826 2540688 2731756 3652239 4097634 4869652 5463512 7304478 8195268 9739304 10927024 14608956 16390536 19478608 28000499 29217912 32781072 56000998 58435824 84001497 112001996 168002994 224003992 336005988 448007984 672011976 1344023952