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661430320 = 24523617183
BaseRepresentation
bin100111011011001…
…010000000110000
31201002121010211021
4213123022000300
52323311232240
6145344425224
722251031165
oct4733120060
91632533737
10661430320
1130a3a6431
12165618214
13a70568b5
1463bb806c
153d10454a
hex276ca030

661430320 has 160 divisors (see below), whose sum is σ = 1673892864. Its totient is φ = 242457600.

The previous prime is 661430317. The next prime is 661430321. The reversal of 661430320 is 23034166.

It is not an unprimeable number, because it can be changed into a prime (661430321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7968999 + ... + 7969081.

Almost surely, 2661430320 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 661430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836946432).

661430320 is an abundant number, since it is smaller than the sum of its proper divisors (1012462544).

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

661430320 is a wasteful number, since it uses less digits than its factorization.

661430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 661430320 is about 25718.2876568406. The cubic root of 661430320 is about 871.2872651440.

Adding to 661430320 its reverse (23034166), we get a palindrome (684464486).

The spelling of 661430320 in words is "six hundred sixty-one million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 61 71 80 83 92 115 122 142 166 184 230 244 284 305 332 355 368 415 460 488 568 610 664 710 830 920 976 1136 1220 1328 1403 1420 1633 1660 1840 1909 2440 2806 2840 3266 3320 3818 4331 4880 5063 5612 5680 5893 6532 6640 7015 7636 8165 8662 9545 10126 11224 11786 13064 14030 15272 16330 17324 19090 20252 21655 22448 23572 25315 26128 28060 29465 30544 32660 34648 38180 40504 43310 47144 50630 56120 58930 65320 69296 76360 81008 86620 94288 99613 101260 112240 116449 117860 130640 135539 152720 173240 199226 202520 232898 235720 271078 346480 359473 398452 405040 465796 471440 498065 542156 582245 677695 718946 796904 931592 996130 1084312 1164490 1355390 1437892 1593808 1797365 1863184 1992260 2168624 2328980 2710780 2875784 3594730 3984520 4657960 5421560 5751568 7189460 7969040 8267879 9315920 10843120 14378920 16535758 28757840 33071516 41339395 66143032 82678790 132286064 165357580 330715160 661430320