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3256414320 = 243563121503
BaseRepresentation
bin1100001000011000…
…1111000001110000
322101221111222122210
43002012033001300
523132120224240
61255044132120
7143461031205
oct30206170160
98357458583
103256414320
111421185305
1276a697040
133cb8616a3
1422c6b1cac
15140d43780
hexc218f070

3256414320 has 80 divisors (see below), whose sum is σ = 10111352832. Its totient is φ = 866960640.

The previous prime is 3256414297. The next prime is 3256414327. The reversal of 3256414320 is 234146523.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3256414327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140689 + ... + 162191.

Almost surely, 23256414320 is an apocalyptic number.

3256414320 is a gapful number since it is divisible by the number (30) 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 3256414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055676416).

3256414320 is an abundant number, since it is smaller than the sum of its proper divisors (6854938512).

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

3256414320 is a wasteful number, since it uses less digits than its factorization.

3256414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22150 (or 22144 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3256414320 is about 57065.0008323841. Note that the first 3 decimals coincide. The cubic root of 3256414320 is about 1482.2218757520.

The spelling of 3256414320 in words is "three billion, two hundred fifty-six million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 1262 1893 2524 3155 3786 5048 6310 7572 9465 10096 12620 15144 18930 21503 25240 30288 37860 43006 50480 64509 75720 86012 107515 129018 151440 172024 215030 258036 322545 344048 430060 516072 645090 860120 1032144 1290180 1720240 2580360 5160720 13568393 27136786 40705179 54273572 67841965 81410358 108547144 135683930 162820716 203525895 217094288 271367860 325641432 407051790 542735720 651282864 814103580 1085471440 1628207160 3256414320