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232434020 = 225713127711
BaseRepresentation
bin11011101101010…
…10100101100100
3121012100212112102
431312222211210
5434000342040
635021511232
75521441130
oct1566524544
9535325472
10232434020
1110a226135
1265a12518
1339202130
1422c263c0
1515614515
hexddaa964

232434020 has 48 divisors (see below), whose sum is σ = 600757248. Its totient is φ = 73560960.

The previous prime is 232434017. The next prime is 232434029. The reversal of 232434020 is 20434232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 232433983 and 232434001.

It is not an unprimeable number, because it can be changed into a prime (232434029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62036 + ... + 65675.

It is an arithmetic number, because the mean of its divisors is an integer number (12515776).

Almost surely, 2232434020 is an apocalyptic number.

232434020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232434020 is an abundant number, since it is smaller than the sum of its proper divisors (368323228).

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

232434020 is a wasteful number, since it uses less digits than its factorization.

232434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127740 (or 127738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 232434020 is about 15245.7869590258. The cubic root of 232434020 is about 614.8463008513.

Adding to 232434020 its reverse (20434232), we get a palindrome (252868252).

The spelling of 232434020 in words is "two hundred thirty-two million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 127711 255422 510844 638555 893977 1277110 1660243 1787954 2554220 3320486 3575908 4469885 6640972 8301215 8939770 11621701 16602430 17879540 23243402 33204860 46486804 58108505 116217010 232434020