Search a number
-
+
34304232 = 23317831013
BaseRepresentation
bin1000001011011…
…1000011101000
32101112211120010
42002313003220
532240213412
63223131520
7564403224
oct202670350
971484503
1034304232
1118400306
12b5a3ba0
137151181
1447ad784
15302933c
hex20b70e8

34304232 has 64 divisors (see below), whose sum is σ = 91990080. Its totient is φ = 10621952.

The previous prime is 34304213. The next prime is 34304243. The reversal of 34304232 is 23240343.

It is a junction number, because it is equal to n+sod(n) for n = 34304199 and 34304208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33358 + ... + 34370.

It is an arithmetic number, because the mean of its divisors is an integer number (1437345).

Almost surely, 234304232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34304232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995040).

34304232 is an abundant number, since it is smaller than the sum of its proper divisors (57685848).

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

34304232 is a wasteful number, since it uses less digits than its factorization.

34304232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

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

The square root of 34304232 is about 5856.9814751286. The cubic root of 34304232 is about 324.9245805271.

Adding to 34304232 its reverse (23240343), we get a palindrome (57544575).

The spelling of 34304232 in words is "thirty-four million, three hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 332 408 498 664 996 1013 1411 1992 2026 2822 3039 4052 4233 5644 6078 8104 8466 11288 12156 16932 17221 24312 33864 34442 51663 68884 84079 103326 137768 168158 206652 252237 336316 413304 504474 672632 1008948 1429343 2017896 2858686 4288029 5717372 8576058 11434744 17152116 34304232