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1232000424 = 2332101191887
BaseRepresentation
bin100100101101110…
…1101010110101000
310011212020002212100
41021123231112220
510010343003144
6322130013400
742346554654
oct11133552650
93155202770
101232000424
11582483176
122a4717260
13168319b45
14b989da64
157325c269
hex496ed5a8

1232000424 has 96 divisors (see below), whose sum is σ = 3391165440. Its totient is φ = 404016000.

The previous prime is 1232000401. The next prime is 1232000447. The reversal of 1232000424 is 4240002321.

It is an interprime number because it is at equal distance from previous prime (1232000401) and next prime (1232000447).

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

It is a junction number, because it is equal to n+sod(n) for n = 1232000397 and 1232000406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388509 + ... + 1389395.

It is an arithmetic number, because the mean of its divisors is an integer number (35324640).

Almost surely, 21232000424 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 1232000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695582720).

1232000424 is an abundant number, since it is smaller than the sum of its proper divisors (2159165016).

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

1232000424 is a wasteful number, since it uses less digits than its factorization.

1232000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1232000424 is about 35099.8635894785. The cubic root of 1232000424 is about 1072.0218051739.

Adding to 1232000424 its reverse (4240002321), we get a palindrome (5472002745).

The spelling of 1232000424 in words is "one billion, two hundred thirty-two million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 191 202 303 382 404 573 606 764 808 887 909 1146 1212 1528 1719 1774 1818 2292 2424 2661 3438 3548 3636 4584 5322 6876 7096 7272 7983 10644 13752 15966 19291 21288 31932 38582 57873 63864 77164 89587 115746 154328 169417 173619 179174 231492 268761 338834 347238 358348 462984 508251 537522 677668 694476 716696 806283 1016502 1075044 1355336 1388952 1524753 1612566 2033004 2150088 3049506 3225132 4066008 6099012 6450264 12198024 17111117 34222234 51333351 68444468 102666702 136888936 154000053 205333404 308000106 410666808 616000212 1232000424