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1242434440 = 235132389297
BaseRepresentation
bin100101000001110…
…0000101110001000
310012120212012122101
41022003200232020
510021030400230
6323141403144
742534342562
oct11203405610
93176765571
101242434440
1158835a425
122a81094b4
1316a531110
14bb018332
157411daca
hex4a0e0b88

1242434440 has 32 divisors (see below), whose sum is σ = 3010515480. Its totient is φ = 458744832.

The previous prime is 1242434423. The next prime is 1242434483. The reversal of 1242434440 is 444342421.

It can be written as a sum of positive squares in 4 ways, for example, as 836250724 + 406183716 = 28918^2 + 20154^2 .

It is a super-2 number, since 2×12424344402 = 3087286675396227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1242434399 and 1242434408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1194129 + ... + 1195168.

Almost surely, 21242434440 is an apocalyptic number.

1242434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242434440 is an abundant number, since it is smaller than the sum of its proper divisors (1768081040).

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

1242434440 is a wasteful number, since it uses less digits than its factorization.

1242434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389321 (or 2389317 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 1242434440 is about 35248.1834992954. The cubic root of 1242434440 is about 1075.0396783624.

Adding to 1242434440 its reverse (444342421), we get a palindrome (1686776861).

It can be divided in two parts, 12424 and 34440, that added together give a palindrome (46864).

The spelling of 1242434440 in words is "one billion, two hundred forty-two million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2389297 4778594 9557188 11946485 19114376 23892970 31060861 47785940 62121722 95571880 124243444 155304305 248486888 310608610 621217220 1242434440