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740648916 = 2232722931433
BaseRepresentation
bin101100001001010…
…110011111010100
31220121122212022100
4230021112133110
53004101231131
6201254402100
724232261200
oct5411263724
91817585270
10740648916
11350093547
12188060330
13ba5a23c7
1470519b00
15450517e6
hex2c2567d4

740648916 has 108 divisors (see below), whose sum is σ = 2186818452. Its totient is φ = 210744576.

The previous prime is 740648897. The next prime is 740648917. The reversal of 740648916 is 619846047.

740648916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 662856516 + 77792400 = 25746^2 + 8820^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740648917) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 516136 + ... + 517568.

It is an arithmetic number, because the mean of its divisors is an integer number (20248319).

Almost surely, 2740648916 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 740648916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093409226).

740648916 is an abundant number, since it is smaller than the sum of its proper divisors (1446169536).

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

740648916 is a wasteful number, since it uses less digits than its factorization.

740648916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 740648916 is about 27214.8657171040. The cubic root of 740648916 is about 904.7684830492.

The spelling of 740648916 in words is "seven hundred forty million, six hundred forty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 293 294 441 586 588 879 882 1172 1433 1758 1764 2051 2637 2866 3516 4102 4299 5274 5732 6153 8204 8598 10031 10548 12306 12897 14357 17196 18459 20062 24612 25794 28714 30093 36918 40124 43071 51588 57428 60186 70217 73836 86142 90279 120372 129213 140434 172284 180558 210651 258426 280868 361116 419869 421302 516852 631953 839738 842604 1259607 1263906 1679476 2519214 2527812 2939083 3778821 5038428 5878166 7557642 8817249 11756332 15115284 17634498 20573581 26451747 35268996 41147162 52903494 61720743 82294324 105806988 123441486 185162229 246882972 370324458 740648916