Search a number
-
+
34993476 = 22327138863
BaseRepresentation
bin1000010101111…
…1010101000100
32102211212000200
42011133111010
532424242401
63250010500
7603303540
oct205372504
972755020
1034993476
1118831131
12b876a30
137332acb
14490ca20
153113686
hex215f544

34993476 has 36 divisors (see below), whose sum is σ = 101092992. Its totient is φ = 9998064.

The previous prime is 34993471. The next prime is 34993477. The reversal of 34993476 is 67439943.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34993471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69180 + ... + 69683.

Almost surely, 234993476 is an apocalyptic number.

34993476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34993476 is an abundant number, since it is smaller than the sum of its proper divisors (66099516).

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

34993476 is a wasteful number, since it uses less digits than its factorization.

34993476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138880 (or 138875 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 34993476 is about 5915.5283787672. The cubic root of 34993476 is about 327.0863055306.

The spelling of 34993476 in words is "thirty-four million, nine hundred ninety-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 138863 277726 416589 555452 833178 972041 1249767 1666356 1944082 2499534 2916123 3888164 4999068 5832246 8748369 11664492 17496738 34993476