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424322240 = 26553127197
BaseRepresentation
bin11001010010101…
…010010011000000
31002120102210200112
4121102222103000
51332111302430
6110034410452
713341452036
oct3122522300
91076383615
10424322240
111a8578641
12ba130a28
1369ba9164
14404d6556
15273ba195
hex194aa4c0

424322240 has 112 divisors (see below), whose sum is σ = 1042854912. Its totient is φ = 164376576.

The previous prime is 424322207. The next prime is 424322257. The reversal of 424322240 is 42223424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2153822 + ... + 2154018.

Almost surely, 2424322240 is an apocalyptic number.

424322240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521427456).

424322240 is an abundant number, since it is smaller than the sum of its proper divisors (618532672).

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

424322240 is a wasteful number, since it uses less digits than its factorization.

424322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 424322240 is about 20599.0834747568. The cubic root of 424322240 is about 751.4474211288.

Adding to 424322240 its reverse (42223424), we get a palindrome (466545664).

The spelling of 424322240 in words is "four hundred twenty-four million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 127 160 197 212 254 265 320 394 424 508 530 635 788 848 985 1016 1060 1270 1576 1696 1970 2032 2120 2540 3152 3392 3940 4064 4240 5080 6304 6731 7880 8128 8480 10160 10441 12608 13462 15760 16960 20320 20882 25019 26924 31520 33655 40640 41764 50038 52205 53848 63040 67310 83528 100076 104410 107696 125095 134620 167056 200152 208820 215392 250190 269240 334112 400304 417640 430784 500380 538480 668224 800608 835280 1000760 1076960 1326007 1601216 1670560 2001520 2153920 2652014 3341120 4003040 5304028 6630035 8006080 10608056 13260070 21216112 26520140 42432224 53040280 84864448 106080560 212161120 424322240