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3321214000 = 245313127739
BaseRepresentation
bin1100010111110101…
…1011010000110000
322120110110011002221
43011331123100300
523300212322000
61305321050424
7145205565436
oct30575332060
98513404087
103321214000
111454814265
12788326a14
1340c0cc1b0
1423713cd56
1514689361a
hexc5f5b430

3321214000 has 80 divisors (see below), whose sum is σ = 8648508960. Its totient is φ = 1226284800.

The previous prime is 3321213967. The next prime is 3321214021. The reversal of 3321214000 is 4121233.

It is a happy number.

3321214000 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-2 number, since 2×33212140002 = 22060924867592000000, which contains 22 as substring.

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

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, 37870 + ... + 89869.

It is an arithmetic number, because the mean of its divisors is an integer number (108106362).

Almost surely, 23321214000 is an apocalyptic number.

It is an amenable number.

3321214000 is an abundant number, since it is smaller than the sum of its proper divisors (5327294960).

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

3321214000 is a wasteful number, since it uses less digits than its factorization.

3321214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127775 (or 127759 counting only the distinct ones).

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

The square root of 3321214000 is about 57629.9748394878. The cubic root of 3321214000 is about 1491.9889957429.

Adding to 3321214000 its reverse (4121233), we get a palindrome (3325335233).

The spelling of 3321214000 in words is "three billion, three hundred twenty-one million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 127739 255478 510956 638695 1021912 1277390 1660607 2043824 2554780 3193475 3321214 5109560 6386950 6642428 8303035 10219120 12773900 13284856 15967375 16606070 25547800 26569712 31934750 33212140 41515175 51095600 63869500 66424280 83030350 127739000 132848560 166060700 207575875 255478000 332121400 415151750 664242800 830303500 1660607000 3321214000