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3201234048 = 2734308761
BaseRepresentation
bin1011111011001110…
…1111010010000000
322021002200112120000
42332303233102000
523024003442143
61245353320000
7142221016605
oct27663572200
98232615500
103201234048
1113a3016581
12754106000
133c02b143c
1422522a6ac
1513b093bd3
hexbecef480

3201234048 has 80 divisors (see below), whose sum is σ = 9526851510. Its totient is φ = 1067074560.

The previous prime is 3201234041. The next prime is 3201234053. The reversal of 3201234048 is 8404321023.

It can be written as a sum of positive squares in only one way, i.e., 2334049344 + 867184704 = 48312^2 + 29448^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3201234041) 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 9 ways as a sum of consecutive naturals, for example, 144013 + ... + 164748.

Almost surely, 23201234048 is an apocalyptic number.

It is an amenable number.

3201234048 is an abundant number, since it is smaller than the sum of its proper divisors (6325617462).

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

3201234048 is an equidigital number, since it uses as much as digits as its factorization.

3201234048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308787 (or 308766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3201234048 is about 56579.4489898938. The cubic root of 3201234048 is about 1473.8020030987.

The spelling of 3201234048 in words is "three billion, two hundred one million, two hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 308761 617522 926283 1235044 1852566 2470088 2778849 3705132 4940176 5557698 7410264 8336547 9880352 11115396 14820528 16673094 19760704 22230792 25009641 29641056 33346188 39521408 44461584 50019282 59282112 66692376 88923168 100038564 118564224 133384752 177846336 200077128 266769504 355692672 400154256 533539008 800308512 1067078016 1600617024 3201234048