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714345456 = 243116592053
BaseRepresentation
bin101010100101000…
…000101111110000
31211210011111202010
4222211000233300
52430333023311
6154514522520
723462556546
oct5245005760
91753144663
10714345456
11337258350
1217b296440
13b4cc2b26
146ac2dd96
1542aa7da6
hex2a940bf0

714345456 has 80 divisors (see below), whose sum is σ = 2017192320. Its totient is φ = 216034560.

The previous prime is 714345439. The next prime is 714345469. The reversal of 714345456 is 654543417.

It is a happy number.

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, 346926 + ... + 348978.

It is an arithmetic number, because the mean of its divisors is an integer number (25214904).

Almost surely, 2714345456 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 714345456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008596160).

714345456 is an abundant number, since it is smaller than the sum of its proper divisors (1302846864).

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

714345456 is a wasteful number, since it uses less digits than its factorization.

714345456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 714345456 is about 26727.2418330063. The cubic root of 714345456 is about 893.9284559556.

The spelling of 714345456 in words is "seven hundred fourteen million, three hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 659 1318 1977 2053 2636 3954 4106 5272 6159 7249 7908 8212 10544 12318 14498 15816 16424 21747 22583 24636 28996 31632 32848 43494 45166 49272 57992 67749 86988 90332 98544 115984 135498 173976 180664 270996 347952 361328 541992 1083984 1352927 2705854 4058781 5411708 8117562 10823416 14882197 16235124 21646832 29764394 32470248 44646591 59528788 64940496 89293182 119057576 178586364 238115152 357172728 714345456