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988243344 = 2432114191489
BaseRepresentation
bin111010111001110…
…110010110010000
32112212112222000100
4322321312112100
54010442241334
6242021252400
733326633634
oct7271662620
92485488010
10988243344
11467923940
12236b64100
13129981b9a
149536adc4
155bb5cc99
hex3ae76590

988243344 has 120 divisors (see below), whose sum is σ = 3026368800. Its totient is φ = 298552320.

The previous prime is 988243343. The next prime is 988243357. The reversal of 988243344 is 443342889.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 988243344.

It is not an unprimeable number, because it can be changed into a prime (988243343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662952 + ... + 664440.

It is an arithmetic number, because the mean of its divisors is an integer number (25219740).

Almost surely, 2988243344 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 988243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513184400).

988243344 is an abundant number, since it is smaller than the sum of its proper divisors (2038125456).

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

988243344 is a wasteful number, since it uses less digits than its factorization.

988243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1924 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 988243344 is about 31436.3379546664. The cubic root of 988243344 is about 996.0656559032.

The spelling of 988243344 in words is "nine hundred eighty-eight million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 419 528 792 838 1257 1489 1584 1676 2514 2978 3352 3771 4467 4609 5028 5956 6704 7542 8934 9218 10056 11912 13401 13827 15084 16379 17868 18436 20112 23824 26802 27654 30168 32758 35736 36872 41481 49137 53604 55308 60336 65516 71472 73744 82962 98274 107208 110616 131032 147411 165924 196548 214416 221232 262064 294822 331848 393096 589644 623891 663696 786192 1179288 1247782 1871673 2358576 2495564 3743346 4991128 5615019 6862801 7486692 9982256 11230038 13725602 14973384 20588403 22460076 27451204 29946768 41176806 44920152 54902408 61765209 82353612 89840304 109804816 123530418 164707224 247060836 329414448 494121672 988243344