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3428798832 = 24321274332
BaseRepresentation
bin1100110001011111…
…0101000101110000
322211221220000202100
43030113311011300
524010233030312
61324123020400
7150653211024
oct31427650560
98757800670
103428798832
1114aa516348
127b836a700
1342849a164
14247546384
151510455dc
hexcc5f5170

3428798832 has 90 divisors (see below), whose sum is σ = 9693820032. Its totient is φ = 1131314688.

The previous prime is 3428798797. The next prime is 3428798903. The reversal of 3428798832 is 2388978243.

3428798832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34287988322 = 23513322860649128448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7918488 + ... + 7918920.

Almost surely, 23428798832 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 3428798832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846910016).

3428798832 is an abundant number, since it is smaller than the sum of its proper divisors (6265021200).

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

3428798832 is a wasteful number, since it uses less digits than its factorization.

3428798832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 565 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3428798832 is about 58555.9461711618. The cubic root of 3428798832 is about 1507.9282190666.

The spelling of 3428798832 in words is "three billion, four hundred twenty-eight million, seven hundred ninety-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 433 508 762 866 1016 1143 1299 1524 1732 2032 2286 2598 3048 3464 3897 4572 5196 6096 6928 7794 9144 10392 15588 18288 20784 31176 54991 62352 109982 164973 187489 219964 329946 374978 439928 494919 562467 659892 749956 879856 989838 1124934 1319784 1499912 1687401 1979676 2249868 2639568 2999824 3374802 3959352 4499736 6749604 7918704 8999472 13499208 23811103 26998416 47622206 71433309 95244412 142866618 190488824 214299927 285733236 380977648 428599854 571466472 857199708 1142932944 1714399416 3428798832