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3428634348 = 2232314174933
BaseRepresentation
bin1100110001011100…
…1100111011101100
322211221120200010100
43030113030323230
524010212244343
61324115311100
7150651624336
oct31427147354
98757520110
103428634348
1114aa413807
127b82ab490
13428440329
14247502456
151510119d3
hexcc5cceec

3428634348 has 72 divisors (see below), whose sum is σ = 9164727936. Its totient is φ = 1079020800.

The previous prime is 3428634347. The next prime is 3428634397. The reversal of 3428634348 is 8434368243.

3428634348 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 634 + 3 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8290 + ... + 83222.

It is an arithmetic number, because the mean of its divisors is an integer number (127287888).

Almost surely, 23428634348 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 3428634348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582363968).

3428634348 is an abundant number, since it is smaller than the sum of its proper divisors (5736093588).

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

3428634348 is a wasteful number, since it uses less digits than its factorization.

3428634348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75015 (or 75010 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 3428634348 is about 58554.5416513527. The cubic root of 3428634348 is about 1507.9041062462.

The spelling of 3428634348 in words is "three billion, four hundred twenty-eight million, six hundred thirty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 492 558 738 1116 1271 1476 2542 3813 5084 7626 11439 15252 22878 45756 74933 149866 224799 299732 449598 674397 899196 1348794 2322923 2697588 3072253 4645846 6144506 6968769 9216759 9291692 12289012 13937538 18433518 20906307 27650277 27875076 36867036 41812614 55300554 83625228 95239843 110601108 190479686 285719529 380959372 571439058 857158587 1142878116 1714317174 3428634348