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40234400 = 2552192647
BaseRepresentation
bin1001100101111…
…0110110100000
32210201010012222
42121132312200
540300000100
63554210212
7665662313
oct231366640
983633188
1040234400
1120790778
1211583968
13844944b
1454b497a
1537eb485
hex265eda0

40234400 has 72 divisors (see below), whose sum is σ = 103430880. Its totient is φ = 15240960.

The previous prime is 40234399. The next prime is 40234421. The reversal of 40234400 is 443204.

40234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 13877 + ... + 16523.

It is an arithmetic number, because the mean of its divisors is an integer number (1436540).

Almost surely, 240234400 is an apocalyptic number.

40234400 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 40234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51715440).

40234400 is an abundant number, since it is smaller than the sum of its proper divisors (63196480).

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

40234400 is a wasteful number, since it uses less digits than its factorization.

40234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 40234400 is about 6343.0591988409. The cubic root of 40234400 is about 342.6619192837.

Adding to 40234400 its reverse (443204), we get a palindrome (40677604).

The spelling of 40234400 in words is "forty million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 2647 3040 3800 5294 7600 10588 13235 15200 21176 26470 42352 50293 52940 66175 84704 100586 105880 132350 201172 211760 251465 264700 402344 423520 502930 529400 804688 1005860 1058800 1257325 1609376 2011720 2117600 2514650 4023440 5029300 8046880 10058600 20117200 40234400