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100440340 = 2257111329173
BaseRepresentation
bin1011111110010…
…01100100010100
320222222220020121
411333021210110
5201203042330
613544441324
72326504660
oct577114424
9228886217
10100440340
1151772350
1229779244
1317a69070
14d4a78a0
158c4017a
hex5fc9914

100440340 has 192 divisors, whose sum is σ = 294658560. Its totient is φ = 27740160.

The previous prime is 100440337. The next prime is 100440349. The reversal of 100440340 is 43044001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440349) 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, 580494 + ... + 580666.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 2100440340 is an apocalyptic number.

100440340 is a gapful number since it is divisible by the number (10) 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 100440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

100440340 is an abundant number, since it is smaller than the sum of its proper divisors (194218220).

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

100440340 is a wasteful number, since it uses less digits than its factorization.

100440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 100440340 is about 10021.9928158027. The cubic root of 100440340 is about 464.8391782085.

Adding to 100440340 its reverse (43044001), we get a palindrome (143484341).

The spelling of 100440340 in words is "one hundred million, four hundred forty thousand, three hundred forty".