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424402104 = 23374759911
BaseRepresentation
bin11001010010111…
…101110010111000
31002120120212020110
4121102331302320
51332121331404
6110040224320
713342233630
oct3122756270
91076525213
10424402104
111a8622645
12ba16b0a0
1369c06609
14405176c0
15273d3b89
hex194bdcb8

424402104 has 128 divisors (see below), whose sum is σ = 1260748800. Its totient is φ = 116538240.

The previous prime is 424402091. The next prime is 424402117. The reversal of 424402104 is 401204424.

It is an interprime number because it is at equal distance from previous prime (424402091) and next prime (424402117).

It is a super-3 number, since 3×4244021043 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 465409 + ... + 466319.

It is an arithmetic number, because the mean of its divisors is an integer number (9849600).

Almost surely, 2424402104 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 424402104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630374400).

424402104 is an abundant number, since it is smaller than the sum of its proper divisors (836346696).

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

424402104 is a wasteful number, since it uses less digits than its factorization.

424402104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 424402104 is about 20601.0219164002. The cubic root of 424402104 is about 751.4945628420.

Adding to 424402104 its reverse (401204424), we get a palindrome (825606528).

It can be divided in two parts, 42440 and 2104, that added together give a palindrome (44544).

The spelling of 424402104 in words is "four hundred twenty-four million, four hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 59 84 94 118 141 168 177 188 236 282 329 354 376 413 472 564 658 708 826 911 987 1128 1239 1316 1416 1652 1822 1974 2478 2632 2733 2773 3304 3644 3948 4956 5466 5546 6377 7288 7896 8319 9912 10932 11092 12754 16638 19131 19411 21864 22184 25508 33276 38262 38822 42817 51016 53749 58233 66552 76524 77644 85634 107498 116466 128451 153048 155288 161247 171268 214996 232932 256902 299719 322494 342536 376243 429992 465864 513804 599438 644988 752486 899157 1027608 1128729 1198876 1289976 1504972 1798314 2257458 2397752 2526203 3009944 3596628 4514916 5052406 7193256 7578609 9029832 10104812 15157218 17683421 20209624 30314436 35366842 53050263 60628872 70733684 106100526 141467368 212201052 424402104