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423402400 = 25522323011
BaseRepresentation
bin11001001111001…
…001101110100000
31002111201001220101
4121033021232200
51331342334100
6110002552144
713330601221
oct3117115640
91074631811
10423402400
111a7aaa543
12b9968654
1369946585
1440337248
152728786a
hex193c9ba0

423402400 has 72 divisors (see below), whose sum is σ = 1078618464. Its totient is φ = 161990400.

The previous prime is 423402389. The next prime is 423402401. The reversal of 423402400 is 4204324.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (423402401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6895 + ... + 29905.

It is an arithmetic number, because the mean of its divisors is an integer number (14980812).

Almost surely, 2423402400 is an apocalyptic number.

423402400 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 423402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539309232).

423402400 is an abundant number, since it is smaller than the sum of its proper divisors (655216064).

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

423402400 is a wasteful number, since it uses less digits than its factorization.

423402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23054 (or 23041 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 423402400 is about 20576.7441545061. The cubic root of 423402400 is about 750.9040357805.

Adding to 423402400 its reverse (4204324), we get a palindrome (427606724).

The spelling of 423402400 in words is "four hundred twenty-three million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 9200 18400 23011 46022 92044 115055 184088 230110 368176 460220 529253 575275 736352 920440 1058506 1150550 1840880 2117012 2301100 2646265 3681760 4234024 4602200 5292530 8468048 9204400 10585060 13231325 16936096 18408800 21170120 26462650 42340240 52925300 84680480 105850600 211701200 423402400