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997350144 = 2837185519
BaseRepresentation
bin111011011100100…
…101101100000000
32120111200122012020
4323130211230000
54020310201034
6242544401440
733500223240
oct7334455400
92514618166
10997350144
11471a83a1a
1223a016280
1312b82001b
149665bb20
155c85b249
hex3b725b00

997350144 has 72 divisors (see below), whose sum is σ = 3033623040. Its totient is φ = 284955648.

The previous prime is 997350143. The next prime is 997350157. The reversal of 997350144 is 441053799.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 997350096 and 997350105.

It is not an unprimeable number, because it can be changed into a prime (997350143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87384 + ... + 98135.

Almost surely, 2997350144 is an apocalyptic number.

It is an amenable number.

997350144 is an abundant number, since it is smaller than the sum of its proper divisors (2036272896).

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

997350144 is a wasteful number, since it uses less digits than its factorization.

997350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185545 (or 185531 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 997350144 is about 31580.8509068391. The cubic root of 997350144 is about 999.1159333231.

The spelling of 997350144 in words is "nine hundred ninety-seven million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 185519 371038 556557 742076 1113114 1298633 1484152 2226228 2597266 2968304 3895899 4452456 5194532 5936608 7791798 8904912 10389064 11873216 15583596 17809824 20778128 23746432 31167192 35619648 41556256 47492864 62334384 71239296 83112512 124668768 142478592 166225024 249337536 332450048 498675072 997350144