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3428570916 = 223432532
BaseRepresentation
bin1100110001011011…
…1101011100100100
322211221110110010000
43030112331130210
524010203232131
61324114101300
7150651241401
oct31426753444
98757413100
103428570916
1114aa380091
127b827a830
1342841a4b4
142474c72a8
15150eecce6
hexcc5bd724

3428570916 has 45 divisors (see below), whose sum is σ = 8965717761. Its totient is φ = 1142505648.

The previous prime is 3428570879. The next prime is 3428570927. The reversal of 3428570916 is 6190758243.

The square root of 3428570916 is 58554.

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

3428570916 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3411728100 + 16842816 = 58410^2 + 4104^2 .

3428570916 is strictly pandigital in base 10.

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 14 ways as a sum of consecutive naturals, for example, 1052346 + ... + 1055598.

It is a 1-persistent number, because it is pandigital, but 2⋅3428570916 = 6857141832 is not.

Almost surely, 23428570916 is an apocalyptic number.

3428570916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3428570916 is the 58554-th square number.

It is an amenable number.

3428570916 is an abundant number, since it is smaller than the sum of its proper divisors (5537146845).

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

3428570916 is an frugal number, since it uses more digits than its factorization.

3428570916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 3428570916 is about 1507.8948071149.

The spelling of 3428570916 in words is "three billion, four hundred twenty-eight million, five hundred seventy thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3253 6506 9759 13012 19518 29277 39036 58554 87831 117108 175662 263493 351324 526986 1053972 10582009 21164018 31746027 42328036 63492054 95238081 126984108 190476162 285714243 380952324 571428486 857142729 1142856972 1714285458 3428570916