Search a number
-
+
997357312 = 2872692069
BaseRepresentation
bin111011011100100…
…111011100000000
32120111201000000201
4323130213130000
54020310413222
6242544454544
733500253160
oct7334473400
92514630021
10997357312
11471a89346
1223a01a454
1312b823373
14966605a0
155c85d427
hex3b727700

997357312 has 72 divisors (see below), whose sum is σ = 2284783200. Its totient is φ = 425644032.

The previous prime is 997357307. The next prime is 997357321. The reversal of 997357312 is 213753799.

997357312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 481014 + ... + 483082.

It is an arithmetic number, because the mean of its divisors is an integer number (31733100).

Almost surely, 2997357312 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 997357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142391600).

997357312 is an abundant number, since it is smaller than the sum of its proper divisors (1287425888).

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

997357312 is a wasteful number, since it uses less digits than its factorization.

997357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2347 counting only the distinct ones).

The product of its digits is 357210, while the sum is 46.

The square root of 997357312 is about 31580.9643931277. The cubic root of 997357312 is about 999.1183268810.

The spelling of 997357312 in words is "nine hundred ninety-seven million, three hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 269 448 538 896 1076 1792 1883 2069 2152 3766 4138 4304 7532 8276 8608 14483 15064 16552 17216 28966 30128 33104 34432 57932 60256 66208 68864 115864 120512 132416 231728 241024 264832 463456 482048 529664 556561 926912 1113122 1853824 2226244 3707648 3895927 4452488 7791854 8904976 15583708 17809952 31167416 35619904 62334832 71239808 124669664 142479616 249339328 498678656 997357312