Search a number
-
+
34921476 = 2233794093
BaseRepresentation
bin1000010100110…
…1110000000100
32102201012021000
42011031300010
532414441401
63244253300
7602553612
oct205156004
972635230
1034921476
1118792027
12b841230
1373090c5
1448d06b2
1530ec186
hex214dc04

34921476 has 48 divisors (see below), whose sum is σ = 91705600. Its totient is φ = 11490336.

The previous prime is 34921459. The next prime is 34921489. The reversal of 34921476 is 67412943.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34921476.

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, 6486 + ... + 10578.

Almost surely, 234921476 is an apocalyptic number.

34921476 is a gapful number since it is divisible by the number (36) 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 34921476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45852800).

34921476 is an abundant number, since it is smaller than the sum of its proper divisors (56784124).

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

34921476 is a wasteful number, since it uses less digits than its factorization.

34921476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4177 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34921476 is about 5909.4395673363. The cubic root of 34921476 is about 326.8618219324.

The spelling of 34921476 in words is "thirty-four million, nine hundred twenty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4093 4266 8186 8532 12279 16372 24558 36837 49116 73674 110511 147348 221022 323347 442044 646694 970041 1293388 1940082 2910123 3880164 5820246 8730369 11640492 17460738 34921476