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3201123040 = 255197114831
BaseRepresentation
bin1011111011001101…
…0100001011100000
322021002110220021121
42332303110023200
523023441414130
61245351102024
7142220045143
oct27663241340
98232426247
103201123040
1113a2a50135
12754071914
133c0272a5b
142251dc05a
1513b070d7a
hexbecd42e0

3201123040 has 96 divisors (see below), whose sum is σ = 8073354240. Its totient is φ = 1195891200.

The previous prime is 3201123017. The next prime is 3201123053. The reversal of 3201123040 is 403211023.

It is a happy number.

3201123040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 208425 + ... + 223255.

It is an arithmetic number, because the mean of its divisors is an integer number (84097440).

Almost surely, 23201123040 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 3201123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036677120).

3201123040 is an abundant number, since it is smaller than the sum of its proper divisors (4872231200).

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

3201123040 is a wasteful number, since it uses less digits than its factorization.

3201123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14936 (or 14928 counting only the distinct ones).

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

The square root of 3201123040 is about 56578.4679891564. The cubic root of 3201123040 is about 1473.7849674075.

Adding to 3201123040 its reverse (403211023), we get a palindrome (3604334063).

The spelling of 3201123040 in words is "three billion, two hundred one million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 71 76 80 95 142 152 160 190 284 304 355 380 568 608 710 760 1136 1349 1420 1520 2272 2698 2840 3040 5396 5680 6745 10792 11360 13490 14831 21584 26980 29662 43168 53960 59324 74155 107920 118648 148310 215840 237296 281789 296620 474592 563578 593240 1053001 1127156 1186480 1408945 2106002 2254312 2372960 2817890 4212004 4508624 5265005 5635780 8424008 9017248 10530010 11271560 16848016 20007019 21060020 22543120 33696032 40014038 42120040 45086240 80028076 84240080 100035095 160056152 168480160 200070190 320112304 400140380 640224608 800280760 1600561520 3201123040