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354908385 = 3451367409
BaseRepresentation
bin10101001001110…
…111100011100001
3220201211012210000
4111021313203201
51211324032020
655114530213
711536446216
oct2511674341
9821735700
10354908385
11172377a17
129aa36969
13586b4380
14351c7b0d
1521258090
hex152778e1

354908385 has 40 divisors (see below), whose sum is σ = 685155240. Its totient is φ = 174721536.

The previous prime is 354908383. The next prime is 354908399. The reversal of 354908385 is 583809453.

It is a happy number.

354908385 is a `hidden beast` number, since 3 + 5 + 490 + 83 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 340070481 = 3852^2 + 18441^2 .

It is not a de Polignac number, because 354908385 - 21 = 354908383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 354908385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354908383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28440 + ... + 38969.

It is an arithmetic number, because the mean of its divisors is an integer number (17128881).

Almost surely, 2354908385 is an apocalyptic number.

It is an amenable number.

354908385 is a deficient number, since it is larger than the sum of its proper divisors (330246855).

354908385 is a wasteful number, since it uses less digits than its factorization.

354908385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67439 (or 67430 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 354908385 is about 18839.0123148747. The cubic root of 354908385 is about 708.0089592374.

The spelling of 354908385 in words is "three hundred fifty-four million, nine hundred eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 67409 202227 337045 606681 876317 1011135 1820043 2628951 3033405 4381585 5460129 7886853 9100215 13144755 23660559 27300645 39434265 70981677 118302795 354908385