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714188440 = 23577983389
BaseRepresentation
bin101010100100011…
…010011010011000
31211202212112100201
4222210122122120
52430313012230
6154511311544
723461334020
oct5244323230
91752775321
10714188440
11337160389
1217b21b5b4
13b4c69514
146abcca80
1542a765ca
hex2a91a698

714188440 has 128 divisors (see below), whose sum is σ = 1886976000. Its totient is φ = 238238208.

The previous prime is 714188429. The next prime is 714188441. The reversal of 714188440 is 44881417.

It is a self number, because there is not a number n which added to its sum of digits gives 714188440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714188441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1835766 + ... + 1836154.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2714188440 is an apocalyptic number.

714188440 is a gapful number since it is divisible by the number (70) 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 714188440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

714188440 is an abundant number, since it is smaller than the sum of its proper divisors (1172787560).

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

714188440 is a wasteful number, since it uses less digits than its factorization.

714188440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 714188440 is about 26724.3042940317. The cubic root of 714188440 is about 893.8629548014.

The spelling of 714188440 in words is "seven hundred fourteen million, one hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 83 140 158 166 280 316 332 389 395 415 553 581 632 664 778 790 830 1106 1162 1556 1580 1660 1945 2212 2324 2723 2765 2905 3112 3160 3320 3890 4424 4648 5446 5530 5810 6557 7780 10892 11060 11620 13114 13615 15560 21784 22120 23240 26228 27230 30731 32287 32785 45899 52456 54460 61462 64574 65570 91798 108920 122924 129148 131140 153655 161435 183596 215117 226009 229495 245848 258296 262280 307310 322870 367192 430234 452018 458990 614620 645740 860468 904036 917980 1075585 1130045 1229240 1291480 1720936 1808072 1835960 2151170 2260090 2550673 4302340 4520180 5101346 8604680 9040360 10202692 12753365 17854711 20405384 25506730 35709422 51013460 71418844 89273555 102026920 142837688 178547110 357094220 714188440