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423424400 = 24527971559
BaseRepresentation
bin11001001111001…
…111000110010000
31002111202012002012
4121033033012100
51331344040100
6110003242052
713331022320
oct3117170620
91074665065
10423424400
111a8015023
12b9979328
13699535a9
1440341280
152728e135
hex193cf190

423424400 has 120 divisors (see below), whose sum is σ = 1175341440. Its totient is φ = 143585280.

The previous prime is 423424399. The next prime is 423424409. The reversal of 423424400 is 4424324.

It is not an unprimeable number, because it can be changed into a prime (423424409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270821 + ... + 272379.

It is an arithmetic number, because the mean of its divisors is an integer number (9794512).

Almost surely, 2423424400 is an apocalyptic number.

423424400 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 423424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587670720).

423424400 is an abundant number, since it is smaller than the sum of its proper divisors (751917040).

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

423424400 is a wasteful number, since it uses less digits than its factorization.

423424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1670 counting only the distinct ones).

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

The square root of 423424400 is about 20577.2787316496. The cubic root of 423424400 is about 750.9170412198.

Adding to 423424400 its reverse (4424324), we get a palindrome (427848724).

The spelling of 423424400 in words is "four hundred twenty-three million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 97 100 112 140 175 194 200 280 350 388 400 485 560 679 700 776 970 1358 1400 1552 1559 1940 2425 2716 2800 3118 3395 3880 4850 5432 6236 6790 7760 7795 9700 10864 10913 12472 13580 15590 16975 19400 21826 24944 27160 31180 33950 38800 38975 43652 54320 54565 62360 67900 77950 87304 109130 124720 135800 151223 155900 174608 218260 271600 272825 302446 311800 436520 545650 604892 623600 756115 873040 1058561 1091300 1209784 1512230 2117122 2182600 2419568 3024460 3780575 4234244 4365200 5292805 6048920 7561150 8468488 10585610 12097840 15122300 16936976 21171220 26464025 30244600 42342440 52928050 60489200 84684880 105856100 211712200 423424400