Search a number
-
+
404623980 = 223254361857
BaseRepresentation
bin11000000111100…
…001001001101100
31001012101000202100
4120013201021230
51312040431410
6104052255100
713012150515
oct3007411154
91035330670
10404623980
11198443a92
12b3611490
1365aa0197
143ba49a0c
15257c88c0
hex181e126c

404623980 has 144 divisors (see below), whose sum is σ = 1277980704. Its totient is φ = 103541760.

The previous prime is 404623949. The next prime is 404624009. The reversal of 404623980 is 89326404.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471712 + ... + 472568.

It is an arithmetic number, because the mean of its divisors is an integer number (8874866).

Almost surely, 2404623980 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 404623980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638990352).

404623980 is an abundant number, since it is smaller than the sum of its proper divisors (873356724).

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

404623980 is a wasteful number, since it uses less digits than its factorization.

404623980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 404623980 is about 20115.2673360311. The cubic root of 404623980 is about 739.6345773094.

The spelling of 404623980 in words is "four hundred four million, six hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 61 86 90 122 129 172 180 183 215 244 258 305 366 387 430 516 549 610 645 732 774 857 860 915 1098 1220 1290 1548 1714 1830 1935 2196 2571 2580 2623 2745 3428 3660 3870 4285 5142 5246 5490 7713 7740 7869 8570 10284 10492 10980 12855 13115 15426 15738 17140 23607 25710 26230 30852 31476 36851 38565 39345 47214 51420 52277 52460 73702 77130 78690 94428 104554 110553 118035 147404 154260 156831 157380 184255 209108 221106 236070 261385 313662 331659 368510 442212 470493 472140 522770 552765 627324 663318 737020 784155 940986 1045540 1105530 1326636 1568310 1658295 1881972 2211060 2247911 2352465 3136620 3316590 4495822 4704930 6633180 6743733 8991644 9409860 11239555 13487466 20231199 22479110 26974932 33718665 40462398 44958220 67437330 80924796 101155995 134874660 202311990 404623980