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3212214320 = 245713143787
BaseRepresentation
bin1011111101110110…
…1000000000110000
322021212100101122202
42333131220000300
523034311324240
61250424522332
7142413241220
oct27735500060
98255311582
103212214320
1113a9236187
127579203a8
133c2657243
14226888080
1513c012315
hexbf768030

3212214320 has 80 divisors (see below), whose sum is σ = 8600663808. Its totient is φ = 1092898560.

The previous prime is 3212214307. The next prime is 3212214361. The reversal of 3212214320 is 234122123.

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

It is a super-2 number, since 2×32122143202 = 20636641675226124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3212214292 and 3212214301.

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, 51467 + ... + 95253.

Almost surely, 23212214320 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 3212214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300331904).

3212214320 is an abundant number, since it is smaller than the sum of its proper divisors (5388449488).

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

3212214320 is a wasteful number, since it uses less digits than its factorization.

3212214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43938 (or 43932 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3212214320 is about 56676.4000268189. The cubic root of 3212214320 is about 1475.4851331523.

Adding to 3212214320 its reverse (234122123), we get a palindrome (3446336443).

The spelling of 3212214320 in words is "three billion, two hundred twelve million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 3668 4585 5240 7336 9170 10480 14672 18340 36680 43787 73360 87574 175148 218935 306509 350296 437870 613018 700592 875740 1226036 1532545 1751480 2452072 3065090 3502960 4904144 5736097 6130180 11472194 12260360 22944388 24520720 28680485 40152679 45888776 57360970 80305358 91777552 114721940 160610716 200763395 229443880 321221432 401526790 458887760 642442864 803053580 1606107160 3212214320