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441404340 = 2235132101431
BaseRepresentation
bin11010010011110…
…100101110110100
31010202120122220220
4122103310232310
51400444414330
6111444454340
713636606056
oct3223645664
91122518826
10441404340
11207185683
121039aa3b0
13705aa400
14428a18d6
1528b41710
hex1a4f4bb4

441404340 has 144 divisors (see below), whose sum is σ = 1354703616. Its totient is φ = 107328000.

The previous prime is 441404323. The next prime is 441404351. The reversal of 441404340 is 43404144.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 441404340.

It is a congruent number.

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, 1023925 + ... + 1024355.

It is an arithmetic number, because the mean of its divisors is an integer number (9407664).

Almost surely, 2441404340 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 441404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677351808).

441404340 is an abundant number, since it is smaller than the sum of its proper divisors (913299276).

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

441404340 is a wasteful number, since it uses less digits than its factorization.

441404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 441404340 is about 21009.6249371568. The cubic root of 441404340 is about 761.3988204007.

Adding to 441404340 its reverse (43404144), we get a palindrome (484808484).

The spelling of 441404340 in words is "four hundred forty-one million, four hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 169 195 202 260 303 338 390 404 431 505 507 606 676 780 845 862 1010 1014 1212 1293 1313 1515 1690 1724 2020 2028 2155 2535 2586 2626 3030 3380 3939 4310 5070 5172 5252 5603 6060 6465 6565 7878 8620 10140 11206 12930 13130 15756 16809 17069 19695 22412 25860 26260 28015 33618 34138 39390 43531 51207 56030 67236 68276 72839 78780 84045 85345 87062 102414 112060 130593 145678 168090 170690 174124 204828 217655 218517 256035 261186 291356 336180 341380 364195 435310 437034 512070 522372 565903 652965 728390 870620 874068 1024140 1092585 1131806 1305930 1456780 1697709 2185170 2263612 2611860 2829515 3395418 4370340 5659030 6790836 7356739 8488545 11318060 14713478 16977090 22070217 29426956 33954180 36783695 44140434 73567390 88280868 110351085 147134780 220702170 441404340