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3201403120 = 245234737019
BaseRepresentation
bin1011111011010001…
…1000100011110000
322021010000010110221
42332310120203300
523024024344440
61245401102424
7142222322536
oct27664304360
98233003427
103201403120
1113a3121603
12754187a14
133c0340396
14225272156
1513b0c8d4a
hexbed188f0

3201403120 has 80 divisors (see below), whose sum is σ = 7932349440. Its totient is φ = 1198790912.

The previous prime is 3201403111. The next prime is 3201403169. The reversal of 3201403120 is 213041023.

It is a happy number.

3201403120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×32014031203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3201403094 and 3201403103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67971 + ... + 104989.

It is an arithmetic number, because the mean of its divisors is an integer number (99154368).

Almost surely, 23201403120 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 3201403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966174720).

3201403120 is an abundant number, since it is smaller than the sum of its proper divisors (4730946320).

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

3201403120 is a wasteful number, since it uses less digits than its factorization.

3201403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37102 (or 37096 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3201403120 is about 56580.9430815712. The cubic root of 3201403120 is about 1473.8279487456.

Adding to 3201403120 its reverse (213041023), we get a palindrome (3414444143).

The spelling of 3201403120 in words is "three billion, two hundred one million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 3760 4324 5405 8648 10810 17296 21620 37019 43240 74038 86480 148076 185095 296152 370190 592304 740380 851437 1480760 1702874 1739893 2961520 3405748 3479786 4257185 6811496 6959572 8514370 8699465 13622992 13919144 17028740 17398930 27838288 34057480 34797860 40017539 68114960 69595720 80035078 139191440 160070156 200087695 320140312 400175390 640280624 800350780 1600701560 3201403120