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99344000 = 27537887
BaseRepresentation
bin1011110101111…
…01111010000000
320220221012100102
411322331322000
5200413002000
613505141532
72314260440
oct572757200
9226835312
1099344000
1151093688
122932a8a8
1317774042
14d2a0120
158ac53d5
hex5ebde80

99344000 has 128 divisors (see below), whose sum is σ = 282597120. Its totient is φ = 34022400.

The previous prime is 99343997. The next prime is 99344029. The reversal of 99344000 is 44399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111557 + ... + 112443.

It is an arithmetic number, because the mean of its divisors is an integer number (2207790).

Almost surely, 299344000 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 99344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298560).

99344000 is an abundant number, since it is smaller than the sum of its proper divisors (183253120).

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

99344000 is an equidigital number, since it uses as much as digits as its factorization.

99344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 99344000 is about 9967.1460308355. The cubic root of 99344000 is about 463.1416950982.

Adding to 99344000 its reverse (44399), we get a palindrome (99388399).

The spelling of 99344000 in words is "ninety-nine million, three hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 887 896 1000 1120 1400 1600 1750 1774 2000 2240 2800 3200 3500 3548 4000 4435 4480 5600 6209 7000 7096 8000 8870 11200 12418 14000 14192 16000 17740 22175 22400 24836 28000 28384 31045 35480 44350 49672 56000 56768 62090 70960 88700 99344 110875 112000 113536 124180 141920 155225 177400 198688 221750 248360 283840 310450 354800 397376 443500 496720 567680 620900 709600 776125 794752 887000 993440 1241800 1419200 1552250 1774000 1986880 2483600 2838400 3104500 3548000 3973760 4967200 6209000 7096000 9934400 12418000 14192000 19868800 24836000 49672000 99344000