Search a number
-
+
354233250 = 235537317
BaseRepresentation
bin10101000111010…
…010101110100010
3220200112220200000
4111013102232202
51211140431000
655052240430
711530635000
oct2507225642
9820486600
10354233250
11171a56758
129a770116
1358508c97
143508da70
1521173000
hex151d2ba2

354233250 has 384 divisors, whose sum is σ = 1226534400. Its totient is φ = 76204800.

The previous prime is 354233239. The next prime is 354233279. The reversal of 354233250 is 52332453.

It is a super-3 number, since 3×3542332503 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20837242 + ... + 20837258.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2354233250 is an apocalyptic number.

354233250 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 354233250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

354233250 is an abundant number, since it is smaller than the sum of its proper divisors (872301150).

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

354233250 is an equidigital number, since it uses as much as digits as its factorization.

354233250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 354233250 is about 18821.0852503250. The cubic root of 354233250 is about 707.5597305846.

The spelling of 354233250 in words is "three hundred fifty-four million, two hundred thirty-three thousand, two hundred fifty".