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3506068404 = 2232198361757
BaseRepresentation
bin1101000011111010…
…0101101110110100
3100001100021201200100
43100332211232310
524140023142104
61335523114100
7152612042526
oct32076455664
910040251610
103506068404
11153a0a20a3
1281a212930
1343b4b27b7
142538dba16
15157c0a139
hexd0fa5bb4

3506068404 has 72 divisors (see below), whose sum is σ = 9441563040. Its totient is φ = 1093822272.

The previous prime is 3506068387. The next prime is 3506068429. The reversal of 3506068404 is 4048606053.

3506068404 is a `hidden beast` number, since 3 + 5 + 0 + 606 + 8 + 40 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25894 + ... + 87650.

It is an arithmetic number, because the mean of its divisors is an integer number (131132820).

Almost surely, 23506068404 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 3506068404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720781520).

3506068404 is an abundant number, since it is smaller than the sum of its proper divisors (5935494636).

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

3506068404 is a wasteful number, since it uses less digits than its factorization.

3506068404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61869 (or 61864 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3506068404 is about 59212.0629939542. The cubic root of 3506068404 is about 1519.1714673191.

The spelling of 3506068404 in words is "three billion, five hundred six million, sixty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 498 684 747 996 1494 1577 2988 3154 4731 6308 9462 14193 18924 28386 56772 61757 123514 185271 247028 370542 555813 741084 1111626 1173383 2223252 2346766 3520149 4693532 5125831 7040298 10251662 10560447 14080596 15377493 20503324 21120894 30754986 42241788 46132479 61509972 92264958 97390789 184529916 194781578 292172367 389563156 584344734 876517101 1168689468 1753034202 3506068404