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740000213352 = 2332731061132697
BaseRepresentation
bin10101100010010110111…
…00110010100101101000
32121202001212221202220100
422301023130302211220
544111010023311402
61323541300425400
7104314616013231
oct12611334624550
92552055852810
10740000213352
11265917912a64
12bb5006a8260
1354a2159563a
1427b5d92a088
15143b0ad271c
hexac4b732968

740000213352 has 96 divisors (see below), whose sum is σ = 2033551732680. Its totient is φ = 243056609280.

The previous prime is 740000213317. The next prime is 740000213357. The reversal of 740000213352 is 253312000047.

It can be written as a sum of positive squares in 4 ways, for example, as 472125648996 + 267874564356 = 687114^2 + 517566^2 .

It is a super-2 number, since 2×7400002133522 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (740000213357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5510268 + ... + 5642964.

Almost surely, 2740000213352 is an apocalyptic number.

740000213352 is a gapful number since it is divisible by the number (72) 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 740000213352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016775866340).

740000213352 is an abundant number, since it is smaller than the sum of its proper divisors (1293551519328).

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

740000213352 is a wasteful number, since it uses less digits than its factorization.

740000213352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133843 (or 133836 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 740000213352 its reverse (253312000047), we get a palindrome (993312213399).

The spelling of 740000213352 in words is "seven hundred forty billion, two hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1061 1314 1752 2122 2628 3183 4244 5256 6366 8488 9549 12732 19098 25464 38196 76392 77453 132697 154906 232359 265394 309812 398091 464718 530788 619624 697077 796182 929436 1061576 1194273 1394154 1592364 1858872 2388546 2788308 3184728 4777092 5576616 9554184 9686881 19373762 29060643 38747524 58121286 77495048 87181929 116242572 140791517 174363858 232485144 281583034 348727716 422374551 563166068 697455432 844749102 1126332136 1267123653 1689498204 2534247306 3378996408 5068494612 10136989224 10277780741 20555561482 30833342223 41111122964 61666684446 82222245928 92500026669 123333368892 185000053338 246666737784 370000106676 740000213352