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3213048384 = 26347313139
BaseRepresentation
bin1011111110000011…
…0011101001000000
322021220220202210000
42333200303221000
523040020022014
61250454440000
7142423314000
oct27740635100
98256822700
103213048384
1113a9755897
12758063000
133c2889a80
14226a24000
1513c129509
hexbf833a40

3213048384 has 560 divisors, whose sum is σ = 12047728000. Its totient is φ = 841300992.

The previous prime is 3213048383. The next prime is 3213048401. The reversal of 3213048384 is 4838403123.

It is a happy number.

It is a super-2 number, since 2×32130483842 = 20647359835850022912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3213048383) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23115387 + ... + 23115525.

It is an arithmetic number, because the mean of its divisors is an integer number (21513800).

Almost surely, 23213048384 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 3213048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023864000).

3213048384 is an abundant number, since it is smaller than the sum of its proper divisors (8834679616).

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

3213048384 is a wasteful number, since it uses less digits than its factorization.

3213048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3213048384 is about 56683.7576736052. The cubic root of 3213048384 is about 1475.6128272610.

The spelling of 3213048384 in words is "three billion, two hundred thirteen million, forty-eight thousand, three hundred eighty-four".