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3428634349 = 747671091427
BaseRepresentation
bin1100110001011100…
…1100111011101101
322211221120200010101
43030113030323231
524010212244344
61324115311101
7150651624340
oct31427147355
98757520111
103428634349
1114aa413808
127b82ab491
1342844032a
14247502457
151510119d4
hexcc5cceed

3428634349 has 32 divisors (see below), whose sum is σ = 4101672960. Its totient is φ = 2805409728.

The previous prime is 3428634347. The next prime is 3428634397. The reversal of 3428634349 is 9434368243.

It is a cyclic number.

It is not a de Polignac number, because 3428634349 - 21 = 3428634347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3428634299 and 3428634308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428634347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2401974 + ... + 2403400.

It is an arithmetic number, because the mean of its divisors is an integer number (128177280).

Almost surely, 23428634349 is an apocalyptic number.

It is an amenable number.

3428634349 is a deficient number, since it is larger than the sum of its proper divisors (673038611).

3428634349 is a wasteful number, since it uses less digits than its factorization.

3428634349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657.

The product of its digits is 1492992, while the sum is 46.

The square root of 3428634349 is about 58554.5416598918. The cubic root of 3428634349 is about 1507.9041063928.

It can be divided in two parts, 34286 and 34349, that added together give a triangular number (68635 = T370).

The spelling of 3428634349 in words is "three billion, four hundred twenty-eight million, six hundred thirty-four thousand, three hundred forty-nine".

Divisors: 1 7 47 67 109 329 469 763 1427 3149 5123 7303 9989 22043 35861 51121 67069 95609 155543 343241 469483 669263 1088801 2402687 4493623 7310521 10421381 31455361 51173647 72949667 489804907 3428634349