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424132320 = 25351751977
BaseRepresentation
bin11001010001111…
…011111011100000
31002120002011011110
4121101323323200
51332034213240
6110030343320
713340031243
oct3121737340
91076064143
10424132320
111a8458987
12ba05ab40
1369b40891
144048725a
152737dc80
hex1947bee0

424132320 has 96 divisors (see below), whose sum is σ = 1414633248. Its totient is φ = 106446848.

The previous prime is 424132283. The next prime is 424132321. The reversal of 424132320 is 23231424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424132321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17829 + ... + 34148.

It is an arithmetic number, because the mean of its divisors is an integer number (14735763).

Almost surely, 2424132320 is an apocalyptic number.

424132320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424132320 is an abundant number, since it is smaller than the sum of its proper divisors (990500928).

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

424132320 is a wasteful number, since it uses less digits than its factorization.

424132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52012 (or 52004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 424132320 is about 20594.4730449701. The cubic root of 424132320 is about 751.3352923593.

Adding to 424132320 its reverse (23231424), we get a palindrome (447363744).

The spelling of 424132320 in words is "four hundred twenty-four million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 51977 103954 155931 207908 259885 311862 415816 519770 623724 779655 831632 883609 1039540 1247448 1559310 1663264 1767218 2079080 2494896 2650827 3118620 3534436 4158160 4418045 4989792 5301654 6237240 7068872 8316320 8836090 10603308 12474480 13254135 14137744 17672180 21206616 24948960 26508270 28275488 35344360 42413232 53016540 70688720 84826464 106033080 141377440 212066160 424132320