Search a number
-
+
714410944 = 261319431051
BaseRepresentation
bin101010100101010…
…000101111000000
31211210021211120121
4222211100233000
52430342122234
6154520150024
723463251512
oct5245205700
91753254517
10714410944
113372a2575
1217b308314
13b5016890
146ac49bb2
1542abc4b4
hex2a950bc0

714410944 has 112 divisors (see below), whose sum is σ = 1646001280. Its totient is φ = 304819200.

The previous prime is 714410929. The next prime is 714410959. The reversal of 714410944 is 449014417.

It is an interprime number because it is at equal distance from previous prime (714410929) and next prime (714410959).

It is a super-2 number, since 2×7144109442 = 1020765993813942272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679219 + ... + 680269.

It is an arithmetic number, because the mean of its divisors is an integer number (14696440).

Almost surely, 2714410944 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 714410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823000640).

714410944 is an abundant number, since it is smaller than the sum of its proper divisors (931590336).

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

714410944 is a wasteful number, since it uses less digits than its factorization.

714410944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 714410944 is about 26728.4669219916. The cubic root of 714410944 is about 893.9557722433.

The spelling of 714410944 in words is "seven hundred fourteen million, four hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 43 52 64 76 86 104 152 172 208 247 304 344 416 494 559 608 688 817 832 988 1051 1118 1216 1376 1634 1976 2102 2236 2752 3268 3952 4204 4472 6536 7904 8408 8944 10621 13072 13663 15808 16816 17888 19969 21242 26144 27326 33632 35776 39938 42484 45193 52288 54652 67264 79876 84968 90386 109304 159752 169936 180772 218608 259597 319504 339872 361544 437216 519194 587509 639008 679744 723088 858667 874432 1038388 1175018 1278016 1446176 1717334 2076776 2350036 2892352 3434668 4153552 4700072 6869336 8307104 9400144 11162671 13738672 16614208 18800288 22325342 27477344 37600576 44650684 54954688 89301368 178602736 357205472 714410944