Search a number
-
+
34435002 = 2372343829
BaseRepresentation
bin1000001101011…
…0111110111010
32101210110221110
42003112332322
532303410002
63230021150
7565456410
oct203267672
971713843
1034435002
111848a588
12b6477b6
137198854
1448052b0
153052e6c
hex20d6fba

34435002 has 64 divisors (see below), whose sum is σ = 84142080. Its totient is φ = 9180864.

The previous prime is 34434971. The next prime is 34435003. The reversal of 34435002 is 20053443.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34435002.

It is not an unprimeable number, because it can be changed into a prime (34435003) 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, 41124 + ... + 41952.

It is an arithmetic number, because the mean of its divisors is an integer number (1314720).

Almost surely, 234435002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34435002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42071040).

34435002 is an abundant number, since it is smaller than the sum of its proper divisors (49707078).

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

34435002 is a wasteful number, since it uses less digits than its factorization.

34435002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34435002 is about 5868.1344565373. The cubic root of 34435002 is about 325.3369349892.

Adding to 34435002 its reverse (20053443), we get a palindrome (54488445).

The spelling of 34435002 in words is "thirty-four million, four hundred thirty-five thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 43 46 69 86 129 138 161 258 301 322 483 602 829 903 966 989 1658 1806 1978 2487 2967 4974 5803 5934 6923 11606 13846 17409 19067 20769 34818 35647 38134 41538 57201 71294 106941 114402 133469 213882 249529 266938 400407 499058 748587 800814 819881 1497174 1639762 2459643 4919286 5739167 11478334 17217501 34435002