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1232020314 = 23378533821
BaseRepresentation
bin100100101101111…
…0010001101011010
310011212021010011000
41021123302031122
510010344122224
6322130245430
742346666650
oct11133621532
93155233130
101232020314
11582497108
122a4726876
13168325c05
14b98a6dd0
15732630c9
hex496f235a

1232020314 has 64 divisors (see below), whose sum is σ = 3133428480. Its totient is φ = 351501120.

The previous prime is 1232020297. The next prime is 1232020319. The reversal of 1232020314 is 4130202321.

1232020314 is a `hidden beast` number, since 12 + 320 + 20 + 314 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1232020319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320524 + ... + 324344.

It is an arithmetic number, because the mean of its divisors is an integer number (48959820).

Almost surely, 21232020314 is an apocalyptic number.

1232020314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232020314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566714240).

1232020314 is an abundant number, since it is smaller than the sum of its proper divisors (1901408166).

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

1232020314 is a wasteful number, since it uses less digits than its factorization.

1232020314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1232020314 is about 35100.1469227694. The cubic root of 1232020314 is about 1072.0275742193.

Adding to 1232020314 its reverse (4130202321), we get a palindrome (5362222635).

The spelling of 1232020314 in words is "one billion, two hundred thirty-two million, twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 853 1706 2559 3821 5118 5971 7642 7677 11463 11942 15354 17913 22926 23031 26747 34389 35826 46062 53494 53739 68778 80241 103167 107478 160482 161217 206334 240723 322434 481446 722169 1444338 3259313 6518626 9777939 19555878 22815191 29333817 45630382 58667634 68445573 88001451 136891146 176002902 205336719 410673438 616010157 1232020314