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84379328 = 2611294133
BaseRepresentation
bin1010000011110…
…00011011000000
312212202220200022
411001320123000
5133100114303
612212313012
72043132605
oct501703300
9185686608
1084379328
11436a2490
1224312768
13146347c7
14b2c66ac
15761b438
hex50786c0

84379328 has 56 divisors (see below), whose sum is σ = 189006480. Its totient is φ = 37022720.

The previous prime is 84379307. The next prime is 84379343. The reversal of 84379328 is 82397348.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18350 + ... + 22482.

Almost surely, 284379328 is an apocalyptic number.

84379328 is a gapful number since it is divisible by the number (88) 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 84379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94503240).

84379328 is an abundant number, since it is smaller than the sum of its proper divisors (104627152).

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

84379328 is a wasteful number, since it uses less digits than its factorization.

84379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4175 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 84379328 is about 9185.8221188961. The cubic root of 84379328 is about 438.6101599511.

The spelling of 84379328 in words is "eighty-four million, three hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 4133 5104 8266 10208 16532 20416 33064 45463 66128 90926 119857 132256 181852 239714 264512 363704 479428 727408 958856 1318427 1454816 1917712 2636854 2909632 3835424 5273708 7670848 10547416 21094832 42189664 84379328