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1042434024 = 233311817741
BaseRepresentation
bin111110001000100…
…100011111101000
32200122112010122120
4332020210133220
54113330342044
6251234551240
734555354152
oct7610443750
92618463576
101042434024
11495477125
12251138520
13137c76888
149c635ad2
15617b4519
hex3e2247e8

1042434024 has 64 divisors (see below), whose sum is σ = 2705364480. Its totient is φ = 334368000.

The previous prime is 1042434017. The next prime is 1042434047. The reversal of 1042434024 is 4204342401.

It is a happy number.

1042434024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1042433985 and 1042434003.

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, 130794 + ... + 138534.

It is an arithmetic number, because the mean of its divisors is an integer number (42271320).

Almost surely, 21042434024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352682240).

1042434024 is an abundant number, since it is smaller than the sum of its proper divisors (1662930456).

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

1042434024 is a wasteful number, since it uses less digits than its factorization.

1042434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1042434024 is about 32286.7468785568. The cubic root of 1042434024 is about 1013.9491900204.

Adding to 1042434024 its reverse (4204342401), we get a palindrome (5246776425).

The spelling of 1042434024 in words is "one billion, forty-two million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 181 186 248 362 372 543 724 744 1086 1448 2172 4344 5611 7741 11222 15482 16833 22444 23223 30964 33666 44888 46446 61928 67332 92892 134664 185784 239971 479942 719913 959884 1401121 1439826 1919768 2802242 2879652 4203363 5604484 5759304 8406726 11208968 16813452 33626904 43434751 86869502 130304253 173739004 260608506 347478008 521217012 1042434024