Search a number
-
+
34973316 = 2233746261
BaseRepresentation
bin1000010101101…
…0011010000100
32102210211101000
42011122122010
532423121231
63245333300
7603161010
oct205323204
972724330
1034973316
1118817a74
12b867230
137326891
144905540
15310c6e6
hex215a684

34973316 has 48 divisors (see below), whose sum is σ = 103626880. Its totient is φ = 9992160.

The previous prime is 34973303. The next prime is 34973321. The reversal of 34973316 is 61337943.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22375 + ... + 23886.

Almost surely, 234973316 is an apocalyptic number.

34973316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34973316 is an abundant number, since it is smaller than the sum of its proper divisors (68653564).

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

34973316 is a wasteful number, since it uses less digits than its factorization.

34973316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46281 (or 46273 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 34973316 is about 5913.8241434794. The cubic root of 34973316 is about 327.0234811856.

The spelling of 34973316 in words is "thirty-four million, nine hundred seventy-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 46261 92522 138783 185044 277566 323827 416349 555132 647654 832698 971481 1249047 1295308 1665396 1942962 2498094 2914443 3885924 4996188 5828886 8743329 11657772 17486658 34973316