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423331400 = 2352191011103
BaseRepresentation
bin11001001110111…
…000011001001000
31002111120110111202
4121032320121020
51331333101100
6110001243332
713330154222
oct3116703110
91074513452
10423331400
111a7a61168
12b9933548
136992016b
1440319412
15272717d5
hex193b8648

423331400 has 96 divisors (see below), whose sum is σ = 1047254400. Its totient is φ = 158688000.

The previous prime is 423331387. The next prime is 423331417. The reversal of 423331400 is 4133324.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383249 + ... + 384351.

It is an arithmetic number, because the mean of its divisors is an integer number (10908900).

Almost surely, 2423331400 is an apocalyptic number.

423331400 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 423331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523627200).

423331400 is an abundant number, since it is smaller than the sum of its proper divisors (623923000).

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

423331400 is a wasteful number, since it uses less digits than its factorization.

423331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 423331400 is about 20575.0188335272. The cubic root of 423331400 is about 750.8620606076.

Adding to 423331400 its reverse (4133324), we get a palindrome (427464724).

The spelling of 423331400 in words is "four hundred twenty-three million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 101 152 190 200 202 380 404 475 505 760 808 950 1010 1103 1900 1919 2020 2206 2525 3800 3838 4040 4412 5050 5515 7676 8824 9595 10100 11030 15352 19190 20200 20957 22060 27575 38380 41914 44120 47975 55150 76760 83828 95950 104785 110300 111403 167656 191900 209570 220600 222806 383800 419140 445612 523925 557015 838280 891224 1047850 1114030 2095700 2116657 2228060 2785075 4191400 4233314 4456120 5570150 8466628 10583285 11140300 16933256 21166570 22280600 42333140 52916425 84666280 105832850 211665700 423331400