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997821312 = 2738633011
BaseRepresentation
bin111011011110011…
…000101110000000
32120112120120111220
4323132120232000
54020420240222
6243002435040
733504225015
oct7336305600
92515516456
10997821312
11472275a14
1223a202a80
1312b956617
149674170c
155c900b5c
hex3b798b80

997821312 has 64 divisors (see below), whose sum is σ = 2654415360. Its totient is φ = 332111360.

The previous prime is 997821283. The next prime is 997821329. The reversal of 997821312 is 213128799.

997821312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329887 + ... + 332897.

It is an arithmetic number, because the mean of its divisors is an integer number (41475240).

Almost surely, 2997821312 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 997821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327207680).

997821312 is an abundant number, since it is smaller than the sum of its proper divisors (1656594048).

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

997821312 is a wasteful number, since it uses less digits than its factorization.

997821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3879 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 997821312 is about 31588.3097363566. The cubic root of 997821312 is about 999.2732426183.

The spelling of 997821312 in words is "nine hundred ninety-seven million, eight hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 863 1726 2589 3011 3452 5178 6022 6904 9033 10356 12044 13808 18066 20712 24088 27616 36132 41424 48176 55232 72264 82848 96352 110464 144528 165696 192704 289056 331392 385408 578112 1156224 2598493 5196986 7795479 10393972 15590958 20787944 31181916 41575888 62363832 83151776 124727664 166303552 249455328 332607104 498910656 997821312