Search a number
-
+
34913340 = 223257112229
BaseRepresentation
bin1000010100101…
…1110000111100
32102200210002200
42011023300330
532414211330
63244151500
7602521110
oct205136074
972623080
1034913340
1118786a00
12b838590
1373054a7
1448cb740
1530e9a60
hex214bc3c

34913340 has 216 divisors, whose sum is σ = 133617120. Its totient is φ = 7223040.

The previous prime is 34913321. The next prime is 34913341. The reversal of 34913340 is 4331943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34913341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152346 + ... + 152574.

Almost surely, 234913340 is an apocalyptic number.

34913340 is a gapful number since it is divisible by the number (30) 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 34913340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66808560).

34913340 is an abundant number, since it is smaller than the sum of its proper divisors (98703780).

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

34913340 is a wasteful number, since it uses less digits than its factorization.

34913340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34913340 is about 5908.7511370847. The cubic root of 34913340 is about 326.8364358888.

It can be divided in two parts, 34913 and 340, that added together give a palindrome (35253).

The spelling of 34913340 in words is "thirty-four million, nine hundred thirteen thousand, three hundred forty".