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232340430 = 23571139791
BaseRepresentation
bin11011101100100…
…11101111001110
3121012012010011010
431312103233032
5433434343210
635015510050
75520601230
oct1566235716
9535163133
10232340430
1110a171893
1265988326
133919b65a
1422c00250
15155e6920
hexdd93bce

232340430 has 64 divisors (see below), whose sum is σ = 642981888. Its totient is φ = 52631040.

The previous prime is 232340429. The next prime is 232340467. The reversal of 232340430 is 34043232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 232340397 and 232340406.

It is a congruent number.

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, 18835 + ... + 28625.

It is an arithmetic number, because the mean of its divisors is an integer number (10046592).

Almost surely, 2232340430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232340430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321490944).

232340430 is an abundant number, since it is smaller than the sum of its proper divisors (410641458).

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

232340430 is a wasteful number, since it uses less digits than its factorization.

232340430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 232340430 is about 15242.7172774411. The cubic root of 232340430 is about 614.7637667622.

Adding to 232340430 its reverse (34043232), we get a palindrome (266383662).

The spelling of 232340430 in words is "two hundred thirty-two million, three hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 2373 3390 3955 4746 7910 9791 11865 19582 23730 29373 48955 58746 68537 97910 137074 146865 205611 293730 342685 411222 685370 1028055 1106383 2056110 2212766 3319149 5531915 6638298 7744681 11063830 15489362 16595745 23234043 33191490 38723405 46468086 77446810 116170215 232340430