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3128442880 = 214538189
BaseRepresentation
bin1011101001111000…
…0100000000000000
322002000201100211211
42322132010000000
522401340133010
61234233215504
7140345216503
oct27236040000
98060640754
103128442880
111365a19492
12733861594
133ab1a6344
142196bd13a
151349b608a
hexba784000

3128442880 has 60 divisors (see below), whose sum is σ = 7508230380. Its totient is φ = 1251344384.

The previous prime is 3128442869. The next prime is 3128442881. The reversal of 3128442880 is 882448213.

It can be written as a sum of positive squares in 2 ways, for example, as 661929984 + 2466512896 = 25728^2 + 49664^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3128442881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62826 + ... + 101014.

It is an arithmetic number, because the mean of its divisors is an integer number (125137173).

Almost surely, 23128442880 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 3128442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754115190).

3128442880 is an abundant number, since it is smaller than the sum of its proper divisors (4379787500).

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

3128442880 is an frugal number, since it uses more digits than its factorization.

3128442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38222 (or 38196 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 3128442880 is about 55932.4850154184. The cubic root of 3128442880 is about 1462.5455809691.

The spelling of 3128442880 in words is "three billion, one hundred twenty-eight million, four hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 38189 40960 76378 81920 152756 190945 305512 381890 611024 763780 1222048 1527560 2444096 3055120 4888192 6110240 9776384 12220480 19552768 24440960 39105536 48881920 78211072 97763840 156422144 195527680 312844288 391055360 625688576 782110720 1564221440 3128442880