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3427102420 = 22571711312743
BaseRepresentation
bin1100110001000101…
…0110111011010100
322211211200211201021
43030101112323110
524004314234140
61324022410524
7150632614150
oct31421267324
98754624637
103427102420
1114a9567855
127b7890a44
13428024c71
14247224060
15150d0cb4a
hexcc456ed4

3427102420 has 96 divisors (see below), whose sum is σ = 8786631168. Its totient is φ = 1096015872.

The previous prime is 3427102411. The next prime is 3427102439. The reversal of 3427102420 is 242017243.

It is a happy number.

3427102420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262569 + ... + 275311.

It is an arithmetic number, because the mean of its divisors is an integer number (91527408).

Almost surely, 23427102420 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 3427102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393315584).

3427102420 is an abundant number, since it is smaller than the sum of its proper divisors (5359528748).

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

3427102420 is a wasteful number, since it uses less digits than its factorization.

3427102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12889 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 3427102420 is about 58541.4589842105. The cubic root of 3427102420 is about 1507.6794935276.

Adding to 3427102420 its reverse (242017243), we get a palindrome (3669119663).

The spelling of 3427102420 in words is "three billion, four hundred twenty-seven million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 113 119 140 170 226 238 340 452 476 565 595 791 1130 1190 1582 1921 2260 2380 3164 3842 3955 7684 7910 9605 12743 13447 15820 19210 25486 26894 38420 50972 53788 63715 67235 89201 127430 134470 178402 216631 254860 268940 356804 433262 446005 866524 892010 1083155 1439959 1516417 1784020 2166310 2879918 3032834 4332620 5759836 6065668 7199795 7582085 10079713 14399590 15164170 20159426 24479303 28799180 30328340 40318852 48958606 50398565 97917212 100797130 122396515 171355121 201594260 244793030 342710242 489586060 685420484 856775605 1713551210 3427102420