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354238950 = 235213593079
BaseRepresentation
bin10101000111010…
…100000111100110
3220200120012111010
4111013110013212
51211141121300
655052323050
711530660422
oct2507240746
9820505433
10354238950
11171a5aa6a
129a773486
135850b760
1435091b82
1521174a50
hex151d41e6

354238950 has 96 divisors (see below), whose sum is σ = 962438400. Its totient is φ = 85691520.

The previous prime is 354238921. The next prime is 354238961. The reversal of 354238950 is 59832453.

It is a super-3 number, since 3×3542389503 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 354238899 and 354238908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113511 + ... + 116589.

It is an arithmetic number, because the mean of its divisors is an integer number (10025400).

Almost surely, 2354238950 is an apocalyptic number.

354238950 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 354238950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481219200).

354238950 is an abundant number, since it is smaller than the sum of its proper divisors (608199450).

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

354238950 is a wasteful number, since it uses less digits than its factorization.

354238950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 354238950 is about 18821.2366756279. The cubic root of 354238950 is about 707.5635257006.

The spelling of 354238950 in words is "three hundred fifty-four million, two hundred thirty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 59 65 75 78 118 130 150 177 195 295 325 354 390 590 650 767 885 975 1475 1534 1770 1950 2301 2950 3079 3835 4425 4602 6158 7670 8850 9237 11505 15395 18474 19175 23010 30790 38350 40027 46185 57525 76975 80054 92370 115050 120081 153950 181661 200135 230925 240162 363322 400270 461850 544983 600405 908305 1000675 1089966 1200810 1816610 2001350 2361593 2724915 3002025 4541525 4723186 5449830 6004050 7084779 9083050 11807965 13624575 14169558 23615930 27249150 35423895 59039825 70847790 118079650 177119475 354238950