Search a number
-
+
730442232 = 2333131913691
BaseRepresentation
bin101011100010011…
…010100111111000
31212220110022101000
4223202122213320
52443443122412
6200251525000
724046441122
oct5342324770
91786408330
10730442232
11345352073
12184759760
13b843a750
146d020212
15441d74dc
hex2b89a9f8

730442232 has 128 divisors (see below), whose sum is σ = 2300256000. Its totient is φ = 212906880.

The previous prime is 730442231. The next prime is 730442233. The reversal of 730442232 is 232244037.

It is an interprime number because it is at equal distance from previous prime (730442231) and next prime (730442233).

It is a super-3 number, since 3×7304422323 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 730442196 and 730442205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730442231) 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, 46507 + ... + 60197.

It is an arithmetic number, because the mean of its divisors is an integer number (17970750).

Almost surely, 2730442232 is an apocalyptic number.

730442232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150128000).

730442232 is an abundant number, since it is smaller than the sum of its proper divisors (1569813768).

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

730442232 is a wasteful number, since it uses less digits than its factorization.

730442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13738 (or 13728 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 730442232 is about 27026.6948034716. The cubic root of 730442232 is about 900.5931201458.

Adding to 730442232 its reverse (232244037), we get a palindrome (962686269).

The spelling of 730442232 in words is "seven hundred thirty million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 13691 17784 26676 27382 41073 53352 54764 82146 109528 123219 164292 177983 246438 260129 328584 355966 369657 492876 520258 533949 711932 739314 780387 985752 1040516 1067898 1423864 1478628 1560774 1601847 2081032 2135796 2341161 2957256 3121548 3203694 3381677 4271592 4682322 4805541 6243096 6407388 6763354 7023483 9364644 9611082 10145031 12814776 13526708 14046966 18729288 19222164 20290062 27053416 28093932 30435093 38444328 40580124 56187864 60870186 81160248 91305279 121740372 182610558 243480744 365221116 730442232