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242328177 = 32721343983
BaseRepresentation
bin11100111000110…
…10001001110001
3121212222112202200
432130122021301
5444014000202
640013533413
76001520100
oct1634321161
9555875680
10242328177
11114873823
12691a4269
133b287770
1424280037
151641ae1c
hexe71a271

242328177 has 72 divisors (see below), whose sum is σ = 449152704. Its totient is φ = 124721856.

The previous prime is 242328169. The next prime is 242328199. The reversal of 242328177 is 771823242.

242328177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242328177 - 23 = 242328169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242328077) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246028 + ... + 247010.

It is an arithmetic number, because the mean of its divisors is an integer number (6238232).

Almost surely, 2242328177 is an apocalyptic number.

It is an amenable number.

242328177 is a deficient number, since it is larger than the sum of its proper divisors (206824527).

242328177 is a wasteful number, since it uses less digits than its factorization.

242328177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1049 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 242328177 is about 15566.8936207581. The cubic root of 242328177 is about 623.4495345784.

The spelling of 242328177 in words is "two hundred forty-two million, three hundred twenty-eight thousand, one hundred seventy-seven".

Divisors: 1 3 7 9 13 21 39 43 49 63 91 117 129 147 273 301 387 441 559 637 819 903 983 1677 1911 2107 2709 2949 3913 5031 5733 6321 6881 8847 11739 12779 18963 20643 27391 35217 38337 42269 48167 61929 82173 89453 115011 126807 144501 246519 268359 295883 380421 433503 549497 626171 805077 887649 1648491 1878513 2071181 2662947 3846479 4945473 5635539 6213543 11539437 18640629 26925353 34618311 80776059 242328177