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232145034 = 2311341709
BaseRepresentation
bin11011101011001…
…00000010001010
3121011211012010020
431311210002022
5433412120114
635011401310
75516125452
oct1565440212
9534735106
10232145034
1110a049000
12658b3236
1339130734
1422b8cd62
15155a8aa9
hexdd6408a

232145034 has 64 divisors (see below), whose sum is σ = 523877760. Its totient is φ = 68534400.

The previous prime is 232145009. The next prime is 232145051. The reversal of 232145034 is 430541232.

It is a super-2 number, since 2×2321450342 = 107782633621722312, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 232144995 and 232145013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327072 + ... + 327780.

It is an arithmetic number, because the mean of its divisors is an integer number (8185590).

Almost surely, 2232145034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232145034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261938880).

232145034 is an abundant number, since it is smaller than the sum of its proper divisors (291732726).

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

232145034 is a wasteful number, since it uses less digits than its factorization.

232145034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 232145034 is about 15236.3064421795. The cubic root of 232145034 is about 614.5913816825.

Adding to 232145034 its reverse (430541232), we get a palindrome (662686266).

The spelling of 232145034 in words is "two hundred thirty-two million, one hundred forty-five thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 709 726 902 1331 1353 1418 2127 2662 2706 3993 4254 4961 7799 7986 9922 14883 15598 23397 29069 29766 46794 54571 58138 85789 87207 109142 163713 171578 174414 257367 319759 327426 514734 639518 943679 959277 1887358 1918554 2831037 3517349 5662074 7034698 10552047 21104094 38690839 77381678 116072517 232145034