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3428355720 = 233531921601
BaseRepresentation
bin1100110001011000…
…1000111010001000
322211221001111220210
43030112020322020
524010124340340
61324105321120
7150646354116
oct31426107210
98757044823
103428355720
1114aa243439
127b81961a0
1342837356a
1424746cab6
15150ea9180
hexcc588e88

3428355720 has 64 divisors (see below), whose sum is σ = 10616855040. Its totient is φ = 884736000.

The previous prime is 3428355713. The next prime is 3428355743. The reversal of 3428355720 is 275538243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457081 + ... + 464520.

It is an arithmetic number, because the mean of its divisors is an integer number (165888360).

Almost surely, 23428355720 is an apocalyptic number.

3428355720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428355720 is an abundant number, since it is smaller than the sum of its proper divisors (7188499320).

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

3428355720 is a wasteful number, since it uses less digits than its factorization.

3428355720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921646 (or 921642 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 3428355720 is about 58552.1623853466. The cubic root of 3428355720 is about 1507.8632585263.

The spelling of 3428355720 in words is "three billion, four hundred twenty-eight million, three hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 921601 1843202 2764803 3686404 4608005 5529606 7372808 9216010 11059212 13824015 18432020 22118424 27648030 28569631 36864040 55296060 57139262 85708893 110592120 114278524 142848155 171417786 228557048 285696310 342835572 428544465 571392620 685671144 857088930 1142785240 1714177860 3428355720