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1024212432 = 24321337759
BaseRepresentation
bin111101000011000…
…011110111010000
32122101020101022210
4331003003313100
54044144244212
6245344232120
734244443035
oct7503036720
92571211283
101024212432
11486160a61
1224700b640
13134266a79
149a05138c
155edb553c
hex3d0c3dd0

1024212432 has 20 divisors (see below), whose sum is σ = 2645882240. Its totient is φ = 341404128.

The previous prime is 1024212383. The next prime is 1024212437. The reversal of 1024212432 is 2342124201.

1024212432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10242124322 = 2098022211726709248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024212399 and 1024212408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024212437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10668832 + ... + 10668927.

It is an arithmetic number, because the mean of its divisors is an integer number (132294112).

Almost surely, 21024212432 is an apocalyptic number.

1024212432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024212432 is an abundant number, since it is smaller than the sum of its proper divisors (1621669808).

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

1024212432 is a wasteful number, since it uses less digits than its factorization.

1024212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21337770 (or 21337764 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1024212432 is about 32003.3190778707. The cubic root of 1024212432 is about 1008.0065349790.

Adding to 1024212432 its reverse (2342124201), we get a palindrome (3366336633).

The spelling of 1024212432 in words is "one billion, twenty-four million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 21337759 42675518 64013277 85351036 128026554 170702072 256053108 341404144 512106216 1024212432