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110240442 = 232131932441
BaseRepresentation
bin1101001001000…
…10001010111010
321200102210110100
412210202022322
5211210143232
614534500230
72506012464
oct644421272
9250383410
10110240442
1157256304
1230b04676
1319aba940
14108d9134
159a28c7c
hex69222ba

110240442 has 48 divisors (see below), whose sum is σ = 258666408. Its totient is φ = 33730560.

The previous prime is 110240437. The next prime is 110240443. The reversal of 110240442 is 244042011.

It can be written as a sum of positive squares in 4 ways, for example, as 36469521 + 73770921 = 6039^2 + 8589^2 .

It is a super-3 number, since 3×1102404423 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110240443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43942 + ... + 46382.

Almost surely, 2110240442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110240442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129333204).

110240442 is an abundant number, since it is smaller than the sum of its proper divisors (148425966).

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

110240442 is a wasteful number, since it uses less digits than its factorization.

110240442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 110240442 is about 10499.5448472779. The cubic root of 110240442 is about 479.4908403085.

Adding to 110240442 its reverse (244042011), we get a palindrome (354282453).

The spelling of 110240442 in words is "one hundred ten million, two hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 193 234 386 579 1158 1737 2441 2509 3474 4882 5018 7323 7527 14646 15054 21969 22581 31733 43938 45162 63466 95199 190398 285597 471113 571194 942226 1413339 2826678 4240017 6124469 8480034 12248938 18373407 36746814 55120221 110240442