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1230433024 = 2823673119
BaseRepresentation
bin100100101010110…
…1110101100000000
310011202021110210111
41021111232230000
510004442324044
6322032241104
742330336202
oct11125565400
93152243714
101230433024
115816025a7
122a40a0194
13167bbb5a2
14b95b2772
157304cb34
hex4956eb00

1230433024 has 72 divisors (see below), whose sum is σ = 2601930240. Its totient is φ = 579499008.

The previous prime is 1230432991. The next prime is 1230433033. The reversal of 1230433024 is 4203340321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1230432986 and 1230433004.

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 7 ways as a sum of consecutive naturals, for example, 392937 + ... + 396055.

It is an arithmetic number, because the mean of its divisors is an integer number (36137920).

Almost surely, 21230433024 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 1230433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300965120).

1230433024 is an abundant number, since it is smaller than the sum of its proper divisors (1371497216).

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

1230433024 is an equidigital number, since it uses as much as digits as its factorization.

1230433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1230433024 is about 35077.5287613024. The cubic root of 1230433024 is about 1071.5669892976.

Adding to 1230433024 its reverse (4203340321), we get a palindrome (5433773345).

The spelling of 1230433024 in words is "one billion, two hundred thirty million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 67 92 128 134 184 256 268 368 536 736 1072 1472 1541 2144 2944 3082 3119 4288 5888 6164 6238 8576 12328 12476 17152 24656 24952 49312 49904 71737 98624 99808 143474 197248 199616 208973 286948 394496 399232 417946 573896 798464 835892 1147792 1671784 2295584 3343568 4591168 4806379 6687136 9182336 9612758 13374272 18364672 19225516 26748544 38451032 53497088 76902064 153804128 307608256 615216512 1230433024