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997384320 = 2733557719
BaseRepresentation
bin111011011100101…
…110000010000000
32120111202101002000
4323130232002000
54020312244240
6242545224000
733500425002
oct7334560200
92514671060
10997384320
11471aa7669
1223a032000
1312b83274a
149666a372
155c866430
hex3b72e080

997384320 has 128 divisors (see below), whose sum is σ = 3532464000. Its totient is φ = 265964544.

The previous prime is 997384307. The next prime is 997384331. The reversal of 997384320 is 23483799.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11580 + ... + 46139.

It is an arithmetic number, because the mean of its divisors is an integer number (27597375).

Almost surely, 2997384320 is an apocalyptic number.

997384320 is a gapful number since it is divisible by the number (90) 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 997384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766232000).

997384320 is an abundant number, since it is smaller than the sum of its proper divisors (2535079680).

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

997384320 is a wasteful number, since it uses less digits than its factorization.

997384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57747 (or 57729 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 997384320 is about 31581.3919895878. The cubic root of 997384320 is about 999.1273453621.

The spelling of 997384320 in words is "nine hundred ninety-seven million, three hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 57719 115438 173157 230876 288595 346314 461752 519471 577190 692628 865785 923504 1038942 1154380 1385256 1558413 1731570 1847008 2077884 2308760 2597355 2770512 3116826 3463140 3694016 4155768 4617520 5194710 5541024 6233652 6926280 7388032 7792065 8311536 9235040 10389420 11082048 12467304 13852560 15584130 16623072 18470080 20778840 22164096 24934608 27705120 31168260 33246144 36940160 41557680 49869216 55410240 62336520 66492288 83115360 99738432 110820480 124673040 166230720 199476864 249346080 332461440 498692160 997384320