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354253530 = 235411791609
BaseRepresentation
bin10101000111010…
…111101011011010
3220200120221111010
4111013113223122
51211142103110
655052514350
711531051061
oct2507275332
9820527433
10354253530
11171a6aa14
129a77b9b6
1358515297
14350971d8
1521179020
hex151d7ada

354253530 has 64 divisors (see below), whose sum is σ = 876355200. Its totient is φ = 91591680.

The previous prime is 354253519. The next prime is 354253541. The reversal of 354253530 is 35352453.

354253530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (354253519) and next prime (354253541).

It is a super-3 number, since 3×3542535303 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219366 + ... + 220974.

It is an arithmetic number, because the mean of its divisors is an integer number (13693050).

Almost surely, 2354253530 is an apocalyptic number.

354253530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354253530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438177600).

354253530 is an abundant number, since it is smaller than the sum of its proper divisors (522101670).

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

354253530 is a wasteful number, since it uses less digits than its factorization.

354253530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839.

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 354253530 is about 18821.6240000697. The cubic root of 354253530 is about 707.5732330226.

The spelling of 354253530 in words is "three hundred fifty-four million, two hundred fifty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 179 205 246 358 410 537 615 895 1074 1230 1609 1790 2685 3218 4827 5370 7339 8045 9654 14678 16090 22017 24135 36695 44034 48270 65969 73390 110085 131938 197907 220170 288011 329845 395814 576022 659690 864033 989535 1440055 1728066 1979070 2880110 4320165 8640330 11808451 23616902 35425353 59042255 70850706 118084510 177126765 354253530