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4102244304 = 2432313072843
BaseRepresentation
bin1111010010000011…
…0100011111010000
3101120220002121021020
43310200310133100
531400133304204
61515021155440
7203441333634
oct36440643720
911526077236
104102244304
111815678954
129659bbb80
13504b6c8c2
142acb6adc4
1519021ebd9
hexf48347d0

4102244304 has 80 divisors (see below), whose sum is σ = 11070577152. Its totient is φ = 1306501504.

The previous prime is 4102244269. The next prime is 4102244339. The reversal of 4102244304 is 4034422014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4102244269) and next prime (4102244339).

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

It is a congruent number.

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, 1441507 + ... + 1444349.

Almost surely, 24102244304 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 4102244304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535288576).

4102244304 is an abundant number, since it is smaller than the sum of its proper divisors (6968332848).

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

4102244304 is a wasteful number, since it uses less digits than its factorization.

4102244304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4178 counting only the distinct ones).

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

The square root of 4102244304 is about 64048.7650466424. The cubic root of 4102244304 is about 1600.8126475992.

Adding to 4102244304 its reverse (4034422014), we get a palindrome (8136666318).

The spelling of 4102244304 in words is "four billion, one hundred two million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1307 2614 2843 3921 5228 5686 7842 8529 10456 11372 15684 17058 20912 22744 30061 31368 34116 45488 60122 62736 65389 68232 90183 120244 130778 136464 180366 196167 240488 261556 360732 392334 480976 523112 721464 784668 1046224 1442928 1569336 3138672 3715801 7431602 11147403 14863204 22294806 29726408 44589612 59452816 85463423 89179224 170926846 178358448 256390269 341853692 512780538 683707384 1025561076 1367414768 2051122152 4102244304