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997338240 = 27325173149
BaseRepresentation
bin111011011100100…
…010110010000000
32120111200000212100
4323130202302000
54020304310430
6242544230400
733500143443
oct7334426200
92514600770
10997338240
11471a75a88
1223a00b400
1312b817792
149665765a
155c857960
hex3b722c80

997338240 has 96 divisors (see below), whose sum is σ = 3443953500. Its totient is φ = 265955328.

The previous prime is 997338229. The next prime is 997338257. The reversal of 997338240 is 42833799.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 989983296 + 7354944 = 31464^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 80815 + ... + 92334.

Almost surely, 2997338240 is an apocalyptic number.

997338240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

997338240 is an abundant number, since it is smaller than the sum of its proper divisors (2446615260).

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

997338240 is a wasteful number, since it uses less digits than its factorization.

997338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173174 (or 173159 counting only the distinct ones).

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

The square root of 997338240 is about 31580.6624376374. The cubic root of 997338240 is about 999.1119582820. Note that the first 3 decimals are identical.

It can be divided in two parts, 997338 and 240, that added together give a triangular number (997578 = T1412).

The spelling of 997338240 in words is "nine hundred ninety-seven million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 173149 346298 519447 692596 865745 1038894 1385192 1558341 1731490 2077788 2597235 2770384 3116682 3462980 4155576 5194470 5540768 6233364 6925960 7791705 8311152 10388940 11081536 12466728 13851920 15583410 16622304 20777880 22163072 24933456 27703840 31166820 33244608 41555760 49866912 55407680 62333640 66489216 83111520 99733824 110815360 124667280 166223040 199467648 249334560 332446080 498669120 997338240