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424332240 = 243517104003
BaseRepresentation
bin11001010010101…
…100101111010000
31002120110022101220
4121102230233100
51332112112430
6110034525040
713341523143
oct3122545720
91076408356
10424332240
111a8585102
12ba136780
1369bb0887
14404da05a
15273bd110
hex194acbd0

424332240 has 80 divisors (see below), whose sum is σ = 1392821568. Its totient is φ = 106498048.

The previous prime is 424332217. The next prime is 424332253. The reversal of 424332240 is 42233424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424332240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47922 + ... + 56081.

Almost surely, 2424332240 is an apocalyptic number.

424332240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424332240 is an abundant number, since it is smaller than the sum of its proper divisors (968489328).

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

424332240 is a wasteful number, since it uses less digits than its factorization.

424332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104036 (or 104030 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 424332240 is about 20599.3262025727. The cubic root of 424332240 is about 751.4533242015.

Adding to 424332240 its reverse (42233424), we get a palindrome (466565664).

The spelling of 424332240 in words is "four hundred twenty-four million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 104003 208006 312009 416012 520015 624018 832024 1040030 1248036 1560045 1664048 1768051 2080060 2496072 3120090 3536102 4160120 4992144 5304153 6240180 7072204 8320240 8840255 10608306 12480360 14144408 17680510 21216612 24960720 26520765 28288816 35361020 42433224 53041530 70722040 84866448 106083060 141444080 212166120 424332240