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740781216 = 2532737499
BaseRepresentation
bin101100001001110…
…110110010100000
31220121220120210100
4230021312302200
53004114444331
6201301302400
724233352000
oct5411666240
91817816710
10740781216
1135017398a
12188104a00
13ba61a6a6
1470552000
154507aae6
hex2c276ca0

740781216 has 144 divisors (see below), whose sum is σ = 2457000000. Its totient is φ = 211623552.

The previous prime is 740781211. The next prime is 740781229. The reversal of 740781216 is 612187047.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740781211) 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 23 ways as a sum of consecutive naturals, for example, 95035 + ... + 102533.

It is an arithmetic number, because the mean of its divisors is an integer number (17062500).

Almost surely, 2740781216 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 740781216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228500000).

740781216 is an abundant number, since it is smaller than the sum of its proper divisors (1716218784).

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

740781216 is a wasteful number, since it uses less digits than its factorization.

740781216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 740781216 is about 27217.2962654265. The cubic root of 740781216 is about 904.8223519117.

The spelling of 740781216 in words is "seven hundred forty million, seven hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 7499 8232 10976 12348 14112 14998 16464 22497 24696 29996 32928 44994 49392 52493 59992 67491 89988 98784 104986 119984 134982 157479 179976 209972 239968 269964 314958 359952 367451 419944 472437 539928 629916 719904 734902 839888 944874 1079856 1102353 1259832 1469804 1679776 1889748 2159712 2204706 2519664 2572157 2939608 3307059 3779496 4409412 5039328 5144314 5879216 6614118 7558992 7716471 8818824 10288628 11758432 13228236 15117984 15432942 17637648 20577256 23149413 26456472 30865884 35275296 41154512 46298826 52912944 61731768 82309024 92597652 105825888 123463536 185195304 246927072 370390608 740781216