Search a number
-
+
29934608 = 2411283601
BaseRepresentation
bin111001000110…
…0010000010000
32002022211120012
41302030100100
530130401413
62545334052
7512303624
oct162142020
962284505
1029934608
1115996350
12a037328
1362812b2
143d93184
1529647a8
hex1c8c410

29934608 has 40 divisors (see below), whose sum is σ = 63600096. Its totient is φ = 13536000.

The previous prime is 29934607. The next prime is 29934613. The reversal of 29934608 is 80643992.

It is a happy number.

It is a super-2 number, since 2×299346082 = 1792161512227328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29934607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49508 + ... + 50108.

Almost surely, 229934608 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 29934608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31800048).

29934608 is an abundant number, since it is smaller than the sum of its proper divisors (33665488).

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

29934608 is a wasteful number, since it uses less digits than its factorization.

29934608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 29934608 is about 5471.2528729716. The cubic root of 29934608 is about 310.4973217520.

The spelling of 29934608 in words is "twenty-nine million, nine hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 283 566 601 1132 1202 2264 2404 3113 4528 4808 6226 6611 9616 12452 13222 24904 26444 49808 52888 105776 170083 340166 680332 1360664 1870913 2721328 3741826 7483652 14967304 29934608