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3005642196 = 2232724311527
BaseRepresentation
bin1011001100100110…
…0111010111010100
321202110122102222100
42303021213113110
522123421022241
61214125202100
7134324352144
oct26311472724
97673572870
103005642196
111302674517
126ba700330
1338b90b70b
14207274924
15128d0a9b6
hexb32675d4

3005642196 has 36 divisors (see below), whose sum is σ = 7599303712. Its totient is φ = 1001655504.

The previous prime is 3005642183. The next prime is 3005642197. The reversal of 3005642196 is 6912465003.

It is a happy number.

3005642196 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 642 + 1 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3005642196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005642197) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 254985 + ... + 266511.

Almost surely, 23005642196 is an apocalyptic number.

3005642196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3005642196 is an abundant number, since it is smaller than the sum of its proper divisors (4593661516).

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

3005642196 is a wasteful number, since it uses less digits than its factorization.

3005642196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18780 (or 18775 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3005642196 is about 54823.7375230839. The cubic root of 3005642196 is about 1443.1531657100.

The spelling of 3005642196 in words is "three billion, five million, six hundred forty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 7243 11527 14486 21729 23054 28972 34581 43458 46108 65187 69162 86916 103743 130374 138324 207486 260748 414972 83490061 166980122 250470183 333960244 500940366 751410549 1001880732 1502821098 3005642196