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424110440 = 235136531249
BaseRepresentation
bin11001010001110…
…110100101101000
31002120001001011002
4121101312211220
51332033013230
6110030054132
713336610405
oct3121664550
91076031132
10424110440
111a84434a6
12ba04a348
1369b33930
144047d2ac
1527377545
hex19476968

424110440 has 64 divisors (see below), whose sum is σ = 1030050000. Its totient is φ = 156229632.

The previous prime is 424110403. The next prime is 424110451. The reversal of 424110440 is 44011424.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45185284 + 378925156 = 6722^2 + 19466^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338936 + ... + 340184.

Almost surely, 2424110440 is an apocalyptic number.

424110440 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 424110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515025000).

424110440 is an abundant number, since it is smaller than the sum of its proper divisors (605939560).

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

424110440 is a wasteful number, since it uses less digits than its factorization.

424110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 424110440 is about 20593.9418276347. The cubic root of 424110440 is about 751.3223722570.

Adding to 424110440 its reverse (44011424), we get a palindrome (468121864).

The spelling of 424110440 in words is "four hundred twenty-four million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 653 1249 1306 2498 2612 3265 4996 5224 6245 6530 8489 9992 12490 13060 16237 16978 24980 26120 32474 33956 42445 49960 64948 67912 81185 84890 129896 162370 169780 324740 339560 649480 815597 1631194 3262388 4077985 6524776 8155970 10602761 16311940 21205522 32623880 42411044 53013805 84822088 106027610 212055220 424110440