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3201421344 = 2531116631823
BaseRepresentation
bin1011111011010001…
…1101000000100000
322021010001001110220
42332310131000200
523024030440334
61245401323040
7142222426632
oct27664350040
98233031426
103201421344
1113a3134270
12754196480
133c0348774
14225278a52
1513b0ce449
hexbed1d020

3201421344 has 96 divisors (see below), whose sum is σ = 9178251264. Its totient is φ = 969012480.

The previous prime is 3201421319. The next prime is 3201421441. The reversal of 3201421344 is 4431241023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1755217 + ... + 1757039.

It is an arithmetic number, because the mean of its divisors is an integer number (95606784).

Almost surely, 23201421344 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 3201421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589125632).

3201421344 is an abundant number, since it is smaller than the sum of its proper divisors (5976829920).

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

3201421344 is a wasteful number, since it uses less digits than its factorization.

3201421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3201421344 is about 56581.1041249638. The cubic root of 3201421344 is about 1473.8307453308.

Adding to 3201421344 its reverse (4431241023), we get a palindrome (7632662367).

The spelling of 3201421344 in words is "three billion, two hundred one million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1663 1823 3326 3646 4989 5469 6652 7292 9978 10938 13304 14584 18293 19956 20053 21876 26608 29168 36586 39912 40106 43752 53216 54879 58336 60159 73172 79824 80212 87504 109758 120318 146344 159648 160424 175008 219516 240636 292688 320848 439032 481272 585376 641696 878064 962544 1756128 1925088 3031649 6063298 9094947 12126596 18189894 24253192 33348139 36379788 48506384 66696278 72759576 97012768 100044417 133392556 145519152 200088834 266785112 291038304 400177668 533570224 800355336 1067140448 1600710672 3201421344