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412345404 = 223417431741
BaseRepresentation
bin11000100100111…
…110010000111100
31001201220022120000
4120210332100330
51321030023104
6104525554300
713134610122
oct3044762074
91051808500
10412345404
111a1838229
12b6115990
1367574883
143ca99912
1526301639
hex1893e43c

412345404 has 120 divisors (see below), whose sum is σ = 1168575408. Its totient is φ = 126282240.

The previous prime is 412345399. The next prime is 412345441. The reversal of 412345404 is 404543214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235974 + ... + 237714.

Almost surely, 2412345404 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 412345404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584287704).

412345404 is an abundant number, since it is smaller than the sum of its proper divisors (756230004).

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

412345404 is a wasteful number, since it uses less digits than its factorization.

412345404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 412345404 is about 20306.2897645040. The cubic root of 412345404 is about 744.3097695506.

Adding to 412345404 its reverse (404543214), we get a palindrome (816888618).

The spelling of 412345404 in words is "four hundred twelve million, three hundred forty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 81 86 102 108 129 153 162 172 204 258 306 324 387 459 516 612 731 774 918 1161 1377 1462 1548 1741 1836 2193 2322 2754 2924 3482 3483 4386 4644 5223 5508 6579 6964 6966 8772 10446 13158 13932 15669 19737 20892 26316 29597 31338 39474 47007 59194 59211 62676 74863 78948 88791 94014 118388 118422 141021 149726 177582 188028 224589 236844 266373 282042 299452 355164 449178 532746 564084 673767 799119 898356 1065492 1272671 1347534 1598238 2021301 2397357 2545342 2695068 3196476 3818013 4042602 4794714 5090684 6063903 7636026 8085204 9589428 11454039 12127806 15272052 22908078 24255612 34362117 45816156 68724234 103086351 137448468 206172702 412345404