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3423443000 = 235317277727
BaseRepresentation
bin1100110000001101…
…1001100000111000
322211120210220221012
43030003121200320
524002400134000
61323412133052
7150556533245
oct31403314070
98746726835
103423443000
1114a749843a
127b6607188
13427343423
142469505cc
15150838735
hexcc0d9838

3423443000 has 128 divisors (see below), whose sum is σ = 8524414080. Its totient is φ = 1282406400.

The previous prime is 3423442987. The next prime is 3423443021. The reversal of 3423443000 is 3443243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4708637 + ... + 4709363.

It is an arithmetic number, because the mean of its divisors is an integer number (66596985).

Almost surely, 23423443000 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 3423443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262207040).

3423443000 is an abundant number, since it is smaller than the sum of its proper divisors (5100971080).

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

3423443000 is a wasteful number, since it uses less digits than its factorization.

3423443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3423443000 is about 58510.1956927167. The cubic root of 3423443000 is about 1507.1426748853.

Adding to 3423443000 its reverse (3443243), we get a palindrome (3426886243).

The spelling of 3423443000 in words is "three billion, four hundred twenty-three million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 277 340 425 500 554 680 727 850 1000 1108 1385 1454 1700 2125 2216 2770 2908 3400 3635 4250 4709 5540 5816 6925 7270 8500 9418 11080 12359 13850 14540 17000 18175 18836 23545 24718 27700 29080 34625 36350 37672 47090 49436 55400 61795 69250 72700 90875 94180 98872 117725 123590 138500 145400 181750 188360 201379 235450 247180 277000 308975 363500 402758 470900 494360 588625 617950 727000 805516 941800 1006895 1177250 1235900 1544875 1611032 2013790 2354500 2471800 3089750 3423443 4027580 4709000 5034475 6179500 6846886 8055160 10068950 12359000 13693772 17117215 20137900 25172375 27387544 34234430 40275800 50344750 68468860 85586075 100689500 136937720 171172150 201379000 342344300 427930375 684688600 855860750 1711721500 3423443000