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4204412324 = 2271731499571
BaseRepresentation
bin1111101010011010…
…0011110110100100
3101212000100021102222
43322212203312210
532102312143244
61533111051512
7206121625610
oct37246436644
911760307388
104204412324
111868310232
12994070b98
13520092158
142bc564340
151991a1bee
hexfa9a3da4

4204412324 has 96 divisors (see below), whose sum is σ = 9225216000. Its totient is φ = 1635033600.

The previous prime is 4204412299. The next prime is 4204412347. The reversal of 4204412324 is 4232144024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4204412293 and 4204412302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7362959 + ... + 7363529.

It is an arithmetic number, because the mean of its divisors is an integer number (96096000).

Almost surely, 24204412324 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 4204412324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612608000).

4204412324 is an abundant number, since it is smaller than the sum of its proper divisors (5020803676).

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

4204412324 is a wasteful number, since it uses less digits than its factorization.

4204412324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4204412324 is about 64841.4398668012. The cubic root of 4204412324 is about 1613.9934459006.

Adding to 4204412324 its reverse (4232144024), we get a palindrome (8436556348).

The spelling of 4204412324 in words is "four billion, two hundred four million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 499 527 571 868 998 1054 1142 1996 2108 2284 3493 3689 3997 6986 7378 7994 8483 9707 13972 14756 15469 15988 16966 17701 19414 30938 33932 35402 38828 59381 61876 67949 70804 108283 118762 123907 135898 216566 237524 247814 262973 271796 284929 300917 433132 495628 525946 569858 601834 1051892 1139716 1203668 1840811 1994503 2106419 3681622 3989006 4212838 4843793 7363244 7978012 8425676 8832799 9687586 17665598 19375172 33906551 35331196 61829593 67813102 123659186 135626204 150157583 247318372 300315166 600630332 1051103081 2102206162 4204412324