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3430021896 = 233372419413
BaseRepresentation
bin1100110001110001…
…1111101100001000
322212001012011111000
43030130133230020
524011041200041
61324205135000
7150666463560
oct31434375410
98761164430
103430021896
111500181244
127b885a460
13428807a72
14247783da0
151511d7bb6
hexcc71fb08

3430021896 has 128 divisors (see below), whose sum is σ = 10935302400. Its totient is φ = 975836160.

The previous prime is 3430021891. The next prime is 3430021897. The reversal of 3430021896 is 6981200343.

3430021896 is a `hidden beast` number, since 3 + 430 + 0 + 218 + 9 + 6 = 666.

3430021896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3430021896.

It is not an unprimeable number, because it can be changed into a prime (3430021891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359686 + ... + 369098.

It is an arithmetic number, because the mean of its divisors is an integer number (85432050).

Almost surely, 23430021896 is an apocalyptic number.

3430021896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430021896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467651200).

3430021896 is an abundant number, since it is smaller than the sum of its proper divisors (7505280504).

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

3430021896 is a wasteful number, since it uses less digits than its factorization.

3430021896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9676 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3430021896 is about 58566.3887908415. The cubic root of 3430021896 is about 1508.1074920973.

The spelling of 3430021896 in words is "three billion, four hundred thirty million, twenty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 241 252 378 482 504 723 756 964 1446 1512 1687 1928 2169 2892 3374 4338 5061 5784 6507 6748 8676 9413 10122 13014 13496 15183 17352 18826 20244 26028 28239 30366 37652 40488 45549 52056 56478 60732 65891 75304 84717 91098 112956 121464 131782 169434 182196 197673 225912 254151 263564 338868 364392 395346 508302 527128 593019 677736 790692 1016604 1186038 1581384 1779057 2033208 2268533 2372076 3558114 4537066 4744152 6805599 7116228 9074132 13611198 14232456 15879731 18148264 20416797 27222396 31759462 40833594 47639193 54444792 61250391 63518924 81667188 95278386 122500782 127037848 142917579 163334376 190556772 245001564 285835158 381113544 428752737 490003128 571670316 857505474 1143340632 1715010948 3430021896