Search a number
-
+
1344355792 = 2413219137191
BaseRepresentation
bin101000000100001…
…0011110111010000
310110200122100110021
41100020103313100
510223123341132
6341222113224
745212556433
oct12010236720
93420570407
101344355792
1162a94344a
1231627b814
13185698300
14ca78981a
157d052997
hex50213dd0

1344355792 has 120 divisors (see below), whose sum is σ = 3006236160. Its totient is φ = 580469760.

The previous prime is 1344355787. The next prime is 1344355807. The reversal of 1344355792 is 2975534431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7038417 + ... + 7038607.

It is an arithmetic number, because the mean of its divisors is an integer number (25051968).

Almost surely, 21344355792 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 1344355792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503118080).

1344355792 is an abundant number, since it is smaller than the sum of its proper divisors (1661880368).

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

1344355792 is a wasteful number, since it uses less digits than its factorization.

1344355792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The square root of 1344355792 is about 36665.4577497677. The cubic root of 1344355792 is about 1103.6670432255.

The spelling of 1344355792 in words is "one billion, three hundred forty-four million, three hundred fifty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 137 152 169 191 208 247 274 304 338 382 494 548 676 764 988 1096 1352 1528 1781 1976 2192 2483 2603 2704 3056 3211 3562 3629 3952 4966 5206 6422 7124 7258 9932 10412 12844 14248 14516 19864 20824 23153 25688 26167 28496 29032 32279 33839 39728 41648 46306 47177 51376 52334 58064 64558 67678 92612 94354 104668 129116 135356 185224 188708 209336 258232 270712 340171 370448 377416 418672 439907 497173 516464 541424 613301 680342 754832 879814 994346 1226602 1360684 1759628 1988692 2453204 2721368 3519256 3977384 4422223 4906408 5442736 6463249 7038512 7954768 8844446 9812816 12926498 17688892 25852996 35377784 51705992 70755568 84022237 103411984 168044474 336088948 672177896 1344355792