Search a number
-
+
34478004 = 223111491753
BaseRepresentation
bin1000001110000…
…1011110110100
32101212122221010
42003201132310
532311244004
63230552220
7566025651
oct203413664
971778833
1034478004
1118509920
12b668670
1371b22b2
144816c28
153060a89
hex20e17b4

34478004 has 48 divisors (see below), whose sum is σ = 88401600. Its totient is φ = 10371840.

The previous prime is 34477997. The next prime is 34478029. The reversal of 34478004 is 40087443.

It is a congruent number.

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, 18792 + ... + 20544.

It is an arithmetic number, because the mean of its divisors is an integer number (1841700).

Almost surely, 234478004 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 34478004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44200800).

34478004 is an abundant number, since it is smaller than the sum of its proper divisors (53923596).

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

34478004 is a wasteful number, since it uses less digits than its factorization.

34478004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 34478004 is about 5871.7973398270. The cubic root of 34478004 is about 325.4723042214.

The spelling of 34478004 in words is "thirty-four million, four hundred seventy-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1753 1788 3278 3506 4917 5259 6556 7012 9834 10518 19283 19668 21036 38566 57849 77132 115698 231396 261197 522394 783591 1044788 1567182 2873167 3134364 5746334 8619501 11492668 17239002 34478004