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323141420 = 225710122853
BaseRepresentation
bin10011010000101…
…011111100101100
3211112001021200202
4103100223330230
51130211011140
652022013032
711002441160
oct2320537454
9745037622
10323141420
1115644aa28
1290277178
1351c41054
1430cb8ca0
151d580915
hex1342bf2c

323141420 has 48 divisors (see below), whose sum is σ = 783252288. Its totient is φ = 109689600.

The previous prime is 323141419. The next prime is 323141437. The reversal of 323141420 is 24141323.

323141420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323141392 and 323141401.

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, 2714 + ... + 25566.

It is an arithmetic number, because the mean of its divisors is an integer number (16317756).

Almost surely, 2323141420 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 323141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391626144).

323141420 is an abundant number, since it is smaller than the sum of its proper divisors (460110868).

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

323141420 is a wasteful number, since it uses less digits than its factorization.

323141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22970 (or 22968 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 323141420 is about 17976.1347346976. The cubic root of 323141420 is about 686.2213244333.

Adding to 323141420 its reverse (24141323), we get a palindrome (347282743).

The spelling of 323141420 in words is "three hundred twenty-three million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 22853 45706 91412 114265 159971 228530 319942 457060 639884 799855 1599710 2308153 3199420 4616306 9232612 11540765 16157071 23081530 32314142 46163060 64628284 80785355 161570710 323141420