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740476240 = 245721091733
BaseRepresentation
bin101100001000101…
…100010101010000
31220121100002102221
4230020230111100
53004030214430
6201250550424
724230641600
oct5410542520
91817302387
10740476240
1134aa85839
12187b98414
13ba54192a
14704b2c00
154501a57a
hex2c22c550

740476240 has 120 divisors (see below), whose sum is σ = 2022225480. Its totient is φ = 251403264.

The previous prime is 740476223. The next prime is 740476267. The reversal of 740476240 is 42674047.

740476240 = T76 + T77 + ... + T1643.

It can be written as a sum of positive squares in 4 ways, for example, as 109662784 + 630813456 = 10472^2 + 25116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 740476196 and 740476205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426414 + ... + 428146.

It is an arithmetic number, because the mean of its divisors is an integer number (16851879).

Almost surely, 2740476240 is an apocalyptic number.

740476240 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 740476240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011112740).

740476240 is an abundant number, since it is smaller than the sum of its proper divisors (1281749240).

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

740476240 is a wasteful number, since it uses less digits than its factorization.

740476240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 740476240 is about 27211.6930748530. The cubic root of 740476240 is about 904.6981645568.

The spelling of 740476240 in words is "seven hundred forty million, four hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 109 112 140 196 218 245 280 392 436 490 545 560 763 784 872 980 1090 1526 1733 1744 1960 2180 3052 3466 3815 3920 4360 5341 6104 6932 7630 8665 8720 10682 12131 12208 13864 15260 17330 21364 24262 26705 27728 30520 34660 42728 48524 53410 60655 61040 69320 84917 85456 97048 106820 121310 138640 169834 188897 194096 213640 242620 339668 377794 424585 427280 485240 679336 755588 849170 944485 970480 1322279 1358672 1511176 1698340 1888970 2644558 3022352 3396680 3777940 5289116 6611395 6793360 7555880 9255953 10578232 13222790 15111760 18511906 21156464 26445580 37023812 46279765 52891160 74047624 92559530 105782320 148095248 185119060 370238120 740476240