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3201313040 = 2451919710691
BaseRepresentation
bin1011111011010000…
…0010100100010000
322021002211112220122
42332310002210100
523024014004130
61245355125412
7142221466112
oct27664024420
98232745818
103201313040
1113a306a962
12754143868
133c030b393
1422524b3b2
1513b0ac2e5
hexbed02910

3201313040 has 80 divisors (see below), whose sum is σ = 7875299520. Its totient is φ = 1206858240.

The previous prime is 3201313039. The next prime is 3201313067. The reversal of 3201313040 is 403131023.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294095 + ... + 304785.

It is an arithmetic number, because the mean of its divisors is an integer number (98441244).

Almost surely, 23201313040 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 3201313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937649760).

3201313040 is an abundant number, since it is smaller than the sum of its proper divisors (4673986480).

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

3201313040 is a wasteful number, since it uses less digits than its factorization.

3201313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3201313040 is about 56580.1470482359. The cubic root of 3201313040 is about 1473.8141252583.

Adding to 3201313040 its reverse (403131023), we get a palindrome (3604444063).

The spelling of 3201313040 in words is "three billion, two hundred one million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 197 304 380 394 760 788 985 1520 1576 1970 3152 3743 3940 7486 7880 10691 14972 15760 18715 21382 29944 37430 42764 53455 59888 74860 85528 106910 149720 171056 203129 213820 299440 406258 427640 812516 855280 1015645 1625032 2031290 2106127 3250064 4062580 4212254 8125160 8424508 10530635 16250320 16849016 21061270 33698032 40016413 42122540 80032826 84245080 160065652 168490160 200082065 320131304 400164130 640262608 800328260 1600656520 3201313040