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3398629808 = 247228115427
BaseRepresentation
bin1100101010010010…
…1111100110110000
322202212010021122002
43022210233212300
523430022123213
61321124233132
7150135606500
oct31244574660
98685107562
103398629808
11149448a972
127aa23b7a8
13422166272
14243531a00
1514d586658
hexca92f9b0

3398629808 has 60 divisors (see below), whose sum is σ = 7687679832. Its totient is φ = 1451278080.

The previous prime is 3398629771. The next prime is 3398629813. The reversal of 3398629808 is 8089268933.

3398629808 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 2×33986298082 = 23101369143652233728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212591 + ... + 228017.

Almost surely, 23398629808 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 3398629808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843839916).

3398629808 is an abundant number, since it is smaller than the sum of its proper divisors (4289050024).

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

3398629808 is a wasteful number, since it uses less digits than its factorization.

3398629808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15730 (or 15717 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The square root of 3398629808 is about 58297.7684650107. The cubic root of 3398629808 is about 1503.4925739363.

The spelling of 3398629808 in words is "three billion, three hundred ninety-eight million, six hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 281 392 562 784 1124 1967 2248 3934 4496 7868 13769 15427 15736 27538 30854 31472 55076 61708 107989 110152 123416 215978 220304 246832 431956 755923 863912 1511846 1727824 3023692 4334987 6047384 8669974 12094768 17339948 30344909 34679896 60689818 69359792 121379636 212414363 242759272 424828726 485518544 849657452 1699314904 3398629808