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93401344 = 282329547
BaseRepresentation
bin1011001000100…
…11000100000000
320111202021120001
411210103010000
5142402320334
613133525344
72212620061
oct544230400
9214667501
1093401344
11487a48a3
1227343854
131647318a
14c594568
1582ee714
hex5913100

93401344 has 72 divisors (see below), whose sum is σ = 201620160. Its totient is φ = 43051008.

The previous prime is 93401339. The next prime is 93401351. The reversal of 93401344 is 44310439.

It is a super-2 number, since 2×934013442 = 17447622122012672, which contains 22 as substring.

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, 170479 + ... + 171025.

It is an arithmetic number, because the mean of its divisors is an integer number (2800280).

Almost surely, 293401344 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 93401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100810080).

93401344 is an abundant number, since it is smaller than the sum of its proper divisors (108218816).

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

93401344 is a wasteful number, since it uses less digits than its factorization.

93401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 93401344 is about 9664.4370762088. The cubic root of 93401344 is about 453.7162930841.

The spelling of 93401344 in words is "ninety-three million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 547 667 736 928 1094 1334 1472 1856 2188 2668 2944 3712 4376 5336 5888 7424 8752 10672 12581 15863 17504 21344 25162 31726 35008 42688 50324 63452 70016 85376 100648 126904 140032 170752 201296 253808 364849 402592 507616 729698 805184 1015232 1459396 1610368 2030464 2918792 3220736 4060928 5837584 11675168 23350336 46700672 93401344