Search a number
-
+
3427638684 = 2231925314929
BaseRepresentation
bin1100110001001101…
…1001110110011100
322211212201002022220
43030103121312130
524004433414214
61324042105340
7150640306461
oct31423316634
98755632286
103427638684
1114a98a3748
127b7aab250
13428182092
14247323668
15150db69a9
hexcc4d9d9c

3427638684 has 72 divisors (see below), whose sum is σ = 8600754960. Its totient is φ = 1061918208.

The previous prime is 3427638679. The next prime is 3427638707. The reversal of 3427638684 is 4868367243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222132 + ... + 237060.

It is an arithmetic number, because the mean of its divisors is an integer number (119454930).

Almost surely, 23427638684 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 3427638684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300377480).

3427638684 is an abundant number, since it is smaller than the sum of its proper divisors (5173116276).

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

3427638684 is a wasteful number, since it uses less digits than its factorization.

3427638684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15027 (or 15006 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 3427638684 is about 58546.0390120459. The cubic root of 3427638684 is about 1507.7581286707.

The spelling of 3427638684 in words is "three billion, four hundred twenty-seven million, six hundred thirty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 361 636 722 1007 1083 1444 2014 2166 3021 4028 4332 6042 12084 14929 19133 29858 38266 44787 57399 59716 76532 89574 114798 179148 229596 283651 567302 791237 850953 1134604 1582474 1701906 2373711 3164948 3403812 4747422 5389369 9494844 10778738 15033503 16168107 21557476 30067006 32336214 45100509 60134012 64672428 90201018 180402036 285636557 571273114 856909671 1142546228 1713819342 3427638684