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667953342 = 232731171007
BaseRepresentation
bin100111110100000…
…010100010111110
31201112212112201200
4213310002202332
52331444001332
6150140320330
722360336560
oct4764024276
91645775650
10667953342
11313051261
121678430a6
13a84cb984
14649d5330
153d99217c
hex27d028be

667953342 has 48 divisors (see below), whose sum is σ = 1707343872. Its totient is φ = 184686480.

The previous prime is 667953323. The next prime is 667953343. The reversal of 667953342 is 243359766.

667953342 is a `hidden beast` number, since 6 + 6 + 79 + 533 + 42 = 666.

667953342 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 not an unprimeable number, because it can be changed into a prime (667953343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81598 + ... + 89409.

It is an arithmetic number, because the mean of its divisors is an integer number (35569664).

Almost surely, 2667953342 is an apocalyptic number.

667953342 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

667953342 is an abundant number, since it is smaller than the sum of its proper divisors (1039390530).

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

667953342 is a wasteful number, since it uses less digits than its factorization.

667953342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171053 (or 171050 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 667953342 is about 25844.7933247685. The cubic root of 667953342 is about 874.1421107809.

The spelling of 667953342 in words is "six hundred sixty-seven million, nine hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 171007 342014 513021 1026042 1197049 1539063 2394098 3078126 3591147 5301217 7182294 10602434 10773441 15903651 21546882 31807302 37108519 47710953 74217038 95421906 111325557 222651114 333976671 667953342