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3214575072 = 253861251
BaseRepresentation
bin1011111110011010…
…1000010111100000
322022000210100000000
42333212220113200
523040412400242
61250551300000
7142442302662
oct27746502740
98260710000
103214575072
1113aa5a8915
1275867a600
133c2ca2937
14226d00532
1513c32ba4c
hexbf9a85e0

3214575072 has 216 divisors, whose sum is σ = 9686614392. Its totient is φ = 1049760000.

The previous prime is 3214575043. The next prime is 3214575073. The reversal of 3214575072 is 2705754123.

3214575072 is a `hidden beast` number, since 3 + 2 + 14 + 575 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214575073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12806947 + ... + 12807197.

It is an arithmetic number, because the mean of its divisors is an integer number (44845437).

Almost surely, 23214575072 is an apocalyptic number.

3214575072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843307196).

3214575072 is an abundant number, since it is smaller than the sum of its proper divisors (6472039320).

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

3214575072 is an frugal number, since it uses more digits than its factorization.

3214575072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 3214575072 is about 56697.2227891279. Note that the first 3 decimals coincide. The cubic root of 3214575072 is about 1475.8465039664.

The spelling of 3214575072 in words is "three billion, two hundred fourteen million, five hundred seventy-five thousand, seventy-two".