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424003360 = 255114181
BaseRepresentation
bin11001010001011…
…100011100100000
31002112211121021011
4121101130130200
51332021101420
6110023510304
713335653254
oct3121343440
91075747234
10424003360
111a8380000
12b9bb8394
1369ac6c81
1440452264
152735595a
hex1945c720

424003360 has 120 divisors (see below), whose sum is σ = 1107959580. Its totient is φ = 153331200.

The previous prime is 424003331. The next prime is 424003379. The reversal of 424003360 is 63300424.

It can be written as a sum of positive squares in 2 ways, for example, as 356303376 + 67699984 = 18876^2 + 8228^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2342470 + ... + 2342650.

Almost surely, 2424003360 is an apocalyptic number.

424003360 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 424003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553979790).

424003360 is an abundant number, since it is smaller than the sum of its proper divisors (683956220).

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

424003360 is an equidigital number, since it uses as much as digits as its factorization.

424003360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 424003360 is about 20591.3418698248. The cubic root of 424003360 is about 751.2591352918.

Adding to 424003360 its reverse (63300424), we get a palindrome (487303784).

The spelling of 424003360 in words is "four hundred twenty-four million, three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 181 220 242 352 362 440 484 605 724 880 905 968 1210 1331 1448 1760 1810 1936 1991 2420 2662 2896 3620 3872 3982 4840 5324 5792 6655 7240 7964 9680 9955 10648 13310 14480 14641 15928 19360 19910 21296 21901 26620 28960 29282 31856 39820 42592 43802 53240 58564 63712 73205 79640 87604 106480 109505 117128 146410 159280 175208 212960 219010 234256 240911 292820 318560 350416 438020 468512 481822 585640 700832 876040 963644 1171280 1204555 1752080 1927288 2342560 2409110 2650021 3504160 3854576 4818220 5300042 7709152 9636440 10600084 13250105 19272880 21200168 26500210 38545760 42400336 53000420 84800672 106000840 212001680 424003360