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3425087680 = 265713711161
BaseRepresentation
bin1100110000100110…
…1011000011000000
322211200220111000021
43030021223003000
524003310301210
61323511303224
7150606523240
oct31411530300
98750814007
103425087680
1114a8411083
127b707ab14
1342779ac01
14246c5bb20
15150a60bda
hexcc26b0c0

3425087680 has 112 divisors (see below), whose sum is σ = 9390010176. Its totient is φ = 1165639680.

The previous prime is 3425087671. The next prime is 3425087683. The reversal of 3425087680 is 867805243.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3425087683) 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, 301300 + ... + 312460.

Almost surely, 23425087680 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 3425087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695005088).

3425087680 is an abundant number, since it is smaller than the sum of its proper divisors (5964922496).

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

3425087680 is a wasteful number, since it uses less digits than its factorization.

3425087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 3425087680 is about 58524.2486495982. The cubic root of 3425087680 is about 1507.3839885349.

It can be divided in two parts, 34250 and 87680, that multiplied together give a square (3003040000 = 548002).

The spelling of 3425087680 in words is "three billion, four hundred twenty-five million, eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 137 140 160 224 274 280 320 448 548 560 685 959 1096 1120 1370 1918 2192 2240 2740 3836 4384 4795 5480 7672 8768 9590 10960 11161 15344 19180 21920 22322 30688 38360 43840 44644 55805 61376 76720 78127 89288 111610 153440 156254 178576 223220 306880 312508 357152 390635 446440 625016 714304 781270 892880 1250032 1529057 1562540 1785760 2500064 3058114 3125080 3571520 5000128 6116228 6250160 7645285 10703399 12232456 12500320 15290570 21406798 24464912 25000640 30581140 42813596 48929824 53516995 61162280 85627192 97859648 107033990 122324560 171254384 214067980 244649120 342508768 428135960 489298240 685017536 856271920 1712543840 3425087680