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1230245424 = 243229674397
BaseRepresentation
bin100100101010100…
…0000111000110000
310011201220221110100
41021111000320300
510004420323144
6322024232400
742325625232
oct11125007060
93151827410
101230245424
11581494661
122a400b700
13167b54095
14b9564252
1573012269
hex49540e30

1230245424 has 120 divisors (see below), whose sum is σ = 3615683760. Its totient is φ = 389942784.

The previous prime is 1230245411. The next prime is 1230245461. The reversal of 1230245424 is 4245420321.

1230245424 is a `hidden beast` number, since 1 + 230 + 2 + 4 + 5 + 424 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277594 + ... + 281990.

It is an arithmetic number, because the mean of its divisors is an integer number (30130698).

Almost surely, 21230245424 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 1230245424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807841880).

1230245424 is an abundant number, since it is smaller than the sum of its proper divisors (2385438336).

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

1230245424 is a wasteful number, since it uses less digits than its factorization.

1230245424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1230245424 is about 35074.8545827349. The cubic root of 1230245424 is about 1071.5125271202.

Adding to 1230245424 its reverse (4245420321), we get a palindrome (5475665745).

The spelling of 1230245424 in words is "one billion, two hundred thirty million, two hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 67 72 87 116 134 144 174 201 232 261 268 348 402 464 522 536 603 696 804 1044 1072 1206 1392 1608 1943 2088 2412 3216 3886 4176 4397 4824 5829 7772 8794 9648 11658 13191 15544 17487 17588 23316 26382 31088 34974 35176 39573 46632 52764 69948 70352 79146 93264 105528 127513 139896 158292 211056 255026 279792 294599 316584 382539 510052 589198 633168 765078 883797 1020104 1147617 1178396 1530156 1767594 2040208 2295234 2356792 2651391 3060312 3535188 4590468 4713584 5302782 6120624 7070376 8543371 9180936 10605564 14140752 17086742 18361872 21211128 25630113 34173484 42422256 51260226 68346968 76890339 102520452 136693936 153780678 205040904 307561356 410081808 615122712 1230245424