Search a number
-
+
3420188840 = 235412085481
BaseRepresentation
bin1100101111011011…
…1111000010101000
322211100200121001202
43023312333002220
524001032020330
61323214303332
7150520061015
oct31366770250
98740617052
103420188840
1114a5675552
127b54b7b48
134267741a3
1424634470c
151503e4445
hexcbdbf0a8

3420188840 has 32 divisors (see below), whose sum is σ = 7883121960. Its totient is φ = 1334707200.

The previous prime is 3420188819. The next prime is 3420188899. The reversal of 3420188840 is 488810243.

It can be written as a sum of positive squares in 4 ways, for example, as 2829601636 + 590587204 = 53194^2 + 24302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3420188794 and 3420188803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041101 + ... + 1044380.

Almost surely, 23420188840 is an apocalyptic number.

It is an amenable number.

3420188840 is an abundant number, since it is smaller than the sum of its proper divisors (4462933120).

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

3420188840 is a wasteful number, since it uses less digits than its factorization.

3420188840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085533 (or 2085529 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 3420188840 is about 58482.3805945004. The cubic root of 3420188840 is about 1506.6649844222.

The spelling of 3420188840 in words is "three billion, four hundred twenty million, one hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2085481 4170962 8341924 10427405 16683848 20854810 41709620 83419240 85504721 171009442 342018884 427523605 684037768 855047210 1710094420 3420188840