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423401600 = 2752132313
BaseRepresentation
bin11001001111001…
…001100010000000
31002111201000210202
4121033021202000
51331342322400
6110002544332
713330565666
oct3117114200
91074630722
10423401600
111a7aa9986
12b99680a8
13699460bb
1440336c36
15272874d5
hex193c9880

423401600 has 48 divisors (see below), whose sum is σ = 1045942170. Its totient is φ = 169359360.

The previous prime is 423401581. The next prime is 423401603. The reversal of 423401600 is 6104324.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 255232576 + 168169024 = 15976^2 + 12968^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (423401603) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 62957 + ... + 69356.

Almost surely, 2423401600 is an apocalyptic number.

423401600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423401600 is an abundant number, since it is smaller than the sum of its proper divisors (622540570).

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

423401600 is a wasteful number, since it uses less digits than its factorization.

423401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132337 (or 132320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 423401600 is about 20576.7247150755. The cubic root of 423401600 is about 750.9035628469.

Adding to 423401600 its reverse (6104324), we get a palindrome (429505924).

The spelling of 423401600 in words is "four hundred twenty-three million, four hundred one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 132313 264626 529252 661565 1058504 1323130 2117008 2646260 3307825 4234016 5292520 6615650 8468032 10585040 13231300 16936064 21170080 26462600 42340160 52925200 84680320 105850400 211700800 423401600