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16981344 = 253258963
BaseRepresentation
bin100000011000…
…1110101100000
31011221202000200
41000301311200
513321400334
61403545200
7264224202
oct100616540
934852020
1016981344
119649376
12582b200
133697443
142380772
151756799
hex1031d60

16981344 has 36 divisors (see below), whose sum is σ = 48291516. Its totient is φ = 5660352.

The previous prime is 16981343. The next prime is 16981357. The reversal of 16981344 is 44318961.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 16981299 and 16981308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16981343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29194 + ... + 29769.

It is an arithmetic number, because the mean of its divisors is an integer number (1341431).

Almost surely, 216981344 is an apocalyptic number.

It is an amenable number.

16981344 is an abundant number, since it is smaller than the sum of its proper divisors (31310172).

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

16981344 is a wasteful number, since it uses less digits than its factorization.

16981344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58979 (or 58968 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16981344 is about 4120.8426322780. The cubic root of 16981344 is about 257.0340661489.

The spelling of 16981344 in words is "sixteen million, nine hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 58963 117926 176889 235852 353778 471704 530667 707556 943408 1061334 1415112 1886816 2122668 2830224 4245336 5660448 8490672 16981344