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1042344072 = 233373111279
BaseRepresentation
bin111110001000001…
…110100010001000
32200122100120021000
4332020032202020
54113320002242
6251233015000
734554531000
oct7610164210
92618316230
101042344072
11495415590
122510b4460
13137c44953
149c611000
1561797a4c
hex3e20e888

1042344072 has 256 divisors, whose sum is σ = 3686400000. Its totient is φ = 270527040.

The previous prime is 1042344019. The next prime is 1042344073. The reversal of 1042344072 is 2704432401.

It is a super-3 number, since 3×10423440723 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042344073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814329 + ... + 815607.

It is an arithmetic number, because the mean of its divisors is an integer number (14400000).

Almost surely, 21042344072 is an apocalyptic number.

1042344072 is a gapful number since it is divisible by the number (12) 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 1042344072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843200000).

1042344072 is an abundant number, since it is smaller than the sum of its proper divisors (2644055928).

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

1042344072 is a wasteful number, since it uses less digits than its factorization.

1042344072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1042344072 is about 32285.3538311105. The cubic root of 1042344072 is about 1013.9200245036.

Adding to 1042344072 its reverse (2704432401), we get a palindrome (3746776473).

The spelling of 1042344072 in words is "one billion, forty-two million, three hundred forty-four thousand, seventy-two".