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740797344 = 253272912671
BaseRepresentation
bin101100001001111…
…010101110100000
31220121221101220200
4230021322232200
53004121003334
6201301505200
724233450010
oct5411725640
91817841820
10740797344
11350185011
12188112200
13ba624b31
1470557c40
1545080799
hex2c27aba0

740797344 has 144 divisors (see below), whose sum is σ = 2490808320. Its totient is φ = 204341760.

The previous prime is 740797319. The next prime is 740797349. The reversal of 740797344 is 443797047.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 740797344.

It is not an unprimeable number, because it can be changed into a prime (740797349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52129 + ... + 64799.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 2740797344 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 740797344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

740797344 is an abundant number, since it is smaller than the sum of its proper divisors (1750010976).

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

740797344 is a wasteful number, since it uses less digits than its factorization.

740797344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723 (or 12712 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 740797344 is about 27217.5925459986. The cubic root of 740797344 is about 904.8289183439.

The spelling of 740797344 in words is "seven hundred forty million, seven hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 12671 14616 19488 25342 29232 38013 50684 58464 76026 88697 101368 114039 152052 177394 202736 228078 266091 304104 354788 367459 405472 456156 532182 608208 709576 734918 798273 912312 1064364 1102377 1216416 1419152 1469836 1596546 1824624 2128728 2204754 2572213 2838304 2939672 3193092 3307131 3649248 4257456 4409508 5144426 5879344 6386184 6614262 7716639 8514912 8819016 10288852 11758688 12772368 13228524 15433278 17638032 20577704 23149917 25544736 26457048 30866556 35276064 41155408 46299834 52914096 61733112 82310816 92599668 105828192 123466224 185199336 246932448 370398672 740797344