Search a number
-
+
34850032 = 247615101
BaseRepresentation
bin1000010011110…
…0010011110000
32102120120020221
42010330103300
532410200112
63242542424
7602135410
oct204742360
972516227
1034850032
1118743388
12b807a14
1372b2729
1448b2640
1530d5e07
hex213c4f0

34850032 has 40 divisors (see below), whose sum is σ = 78448352. Its totient is φ = 14688000.

The previous prime is 34850021. The next prime is 34850071. The reversal of 34850032 is 23005843.

It is a junction number, because it is equal to n+sod(n) for n = 34849979 and 34850006.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4282 + ... + 9382.

Almost surely, 234850032 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 34850032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39224176).

34850032 is an abundant number, since it is smaller than the sum of its proper divisors (43598320).

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

34850032 is a wasteful number, since it uses less digits than its factorization.

34850032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 34850032 is about 5903.3915675652. The cubic root of 34850032 is about 326.6387666486.

Adding to 34850032 its reverse (23005843), we get a palindrome (57855875).

The spelling of 34850032 in words is "thirty-four million, eight hundred fifty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 3416 5101 6832 10202 20404 35707 40808 71414 81616 142828 285656 311161 571312 622322 1244644 2178127 2489288 4356254 4978576 8712508 17425016 34850032