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412411104 = 25327316599
BaseRepresentation
bin11000100101001…
…110010011100000
31001202000122200100
4120211032103200
51321034123404
6104531222400
713135302510
oct3045162340
91052018610
10412411104
111a1882626
12b6147a00
1367598751
143cab5840
1526315d39
hex1894e4e0

412411104 has 144 divisors (see below), whose sum is σ = 1383782400. Its totient is φ = 114013440.

The previous prime is 412411099. The next prime is 412411123. The reversal of 412411104 is 401114214.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59197 + ... + 65795.

It is an arithmetic number, because the mean of its divisors is an integer number (9609600).

Almost surely, 2412411104 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 412411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

412411104 is an abundant number, since it is smaller than the sum of its proper divisors (971371296).

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

412411104 is a wasteful number, since it uses less digits than its factorization.

412411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 412411104 is about 20307.9074254341. The cubic root of 412411104 is about 744.3492983489.

Adding to 412411104 its reverse (401114214), we get a palindrome (813525318).

The spelling of 412411104 in words is "four hundred twelve million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6599 6944 7812 8928 10416 13198 15624 19797 20832 26396 31248 39594 46193 52792 59391 62496 79188 92386 105584 118782 138579 158376 184772 204569 211168 237564 277158 316752 369544 409138 415737 475128 554316 613707 633504 739088 818276 831474 950256 1108632 1227414 1431983 1478176 1636552 1662948 1841121 1900512 2217264 2454828 2863966 3273104 3325896 3682242 4295949 4434528 4909656 5727932 6546208 6651792 7364484 8591898 9819312 11455864 12887847 13303584 14728968 17183796 19638624 22911728 25775694 29457936 34367592 45823456 51551388 58915872 68735184 103102776 137470368 206205552 412411104