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3428339968 = 2841326633
BaseRepresentation
bin1100110001011000…
…0101000100000000
322211221000201022101
43030112011010000
524010123334333
61324105120144
7150646260154
oct31426050400
98757021271
103428339968
1114aa232619
127b8189054
13428369341
14247467064
15150ea467d
hexcc585100

3428339968 has 36 divisors (see below), whose sum is σ = 7010218908. Its totient is φ = 1672355840.

The previous prime is 3428339909. The next prime is 3428339987. The reversal of 3428339968 is 8699338243.

It can be written as a sum of positive squares in 2 ways, for example, as 1322631424 + 2105708544 = 36368^2 + 45888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152821 + ... + 173812.

It is an arithmetic number, because the mean of its divisors is an integer number (194728303).

Almost surely, 23428339968 is an apocalyptic number.

It is an amenable number.

3428339968 is an abundant number, since it is smaller than the sum of its proper divisors (3581878940).

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

3428339968 is an equidigital number, since it uses as much as digits as its factorization.

3428339968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326690 (or 326676 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 55.

The square root of 3428339968 is about 58552.0278726536. The cubic root of 3428339968 is about 1507.8609491686.

It can be divided in two parts, 3428 and 339968, that added together give a square (343396 = 5862).

The spelling of 3428339968 in words is "three billion, four hundred twenty-eight million, three hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 10496 326633 653266 1306532 2613064 5226128 10452256 13391953 20904512 26783906 41809024 53567812 83618048 107135624 214271248 428542496 857084992 1714169984 3428339968