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3191346064 = 242924872
BaseRepresentation
bin1011111000111000…
…0001001110010000
322020102002011210101
42332032001032100
523013441033224
61244401342144
7142040664634
oct27616011620
98212064711
103191346064
111398482595
12750937954
133bb22b86a
14223bb4dc4
1513a28e044
hexbe381390

3191346064 has 45 divisors (see below), whose sum is σ = 6416976657. Its totient is φ = 1537486272.

The previous prime is 3191346047. The next prime is 3191346079. The reversal of 3191346064 is 4606431913.

The square root of 3191346064 is 56492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1673464464 + 1517881600 = 40908^2 + 38960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6552829 + ... + 6553315.

Almost surely, 23191346064 is an apocalyptic number.

3191346064 is the 56492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3191346064

3191346064 is an abundant number, since it is smaller than the sum of its proper divisors (3225630593).

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

3191346064 is an frugal number, since it uses more digits than its factorization.

3191346064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The cubic root of 3191346064 is about 1472.2830096401.

Multiplying 3191346064 by its product of nonzero digits (46656), we get a square (148895441961984 = 122022722).

Adding to 3191346064 its reverse (4606431913), we get a palindrome (7797777977).

It can be divided in two parts, 31913 and 46064, that added together give a palindrome (77977).

The spelling of 3191346064 in words is "three billion, one hundred ninety-one million, three hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 487 841 974 1682 1948 3364 3896 6728 7792 13456 14123 28246 56492 112984 225968 237169 409567 474338 819134 948676 1638268 1897352 3276536 3794704 6553072 6877901 13755802 27511604 55023208 110046416 199459129 398918258 797836516 1595673032 3191346064