Search a number
-
+
740793648 = 2437109113179
BaseRepresentation
bin101100001001111…
…001110100110000
31220121221012211210
4230021321310300
53004120344043
6201301440120
724233433150
oct5411716460
91817835753
10740793648
11350182261
12188110040
13ba62324a
1470556760
154507e633
hex2c279d30

740793648 has 160 divisors (see below), whose sum is σ = 2239142400. Its totient is φ = 206696448.

The previous prime is 740793629. The next prime is 740793653. The reversal of 740793648 is 846397047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 740793597 and 740793606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4138423 + ... + 4138601.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2740793648 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 740793648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119571200).

740793648 is an abundant number, since it is smaller than the sum of its proper divisors (1498348752).

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

740793648 is a wasteful number, since it uses less digits than its factorization.

740793648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 740793648 is about 27217.5246486524. The cubic root of 740793648 is about 904.8274135449.

The spelling of 740793648 in words is "seven hundred forty million, seven hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 113 168 179 218 226 327 336 339 358 436 452 537 654 678 716 763 791 872 904 1074 1253 1308 1356 1432 1526 1582 1744 1808 2148 2289 2373 2506 2616 2712 2864 3052 3164 3759 4296 4578 4746 5012 5232 5424 6104 6328 7518 8592 9156 9492 10024 12208 12317 12656 15036 18312 18984 19511 20048 20227 24634 30072 36624 36951 37968 39022 40454 49268 58533 60144 60681 73902 78044 80908 86219 98536 117066 121362 136577 141589 147804 156088 161816 172438 197072 234132 242724 258657 273154 283178 295608 312176 323632 344876 409731 424767 468264 485448 517314 546308 566356 591216 689752 819462 849534 936528 970896 1034628 1092616 1132712 1379504 1638924 1699068 2069256 2185232 2204743 2265424 3277848 3398136 4138512 4409486 6555696 6614229 6796272 8818972 13228458 15433201 17637944 26456916 30866402 35275888 46299603 52913832 61732804 92599206 105827664 123465608 185198412 246931216 370396824 740793648