Search a number
-
+
354995190 = 233511177989
BaseRepresentation
bin10101001010001…
…100101111110110
3220201222121212000
4111022030233312
51211334321230
655120440130
711540260254
oct2512145766
9821877760
10354995190
11172427160
129aa79046
1358714a34
143520b5d4
1521273b60
hex1528cbf6

354995190 has 256 divisors, whose sum is σ = 1119744000. Its totient is φ = 79073280.

The previous prime is 354995159. The next prime is 354995191. The reversal of 354995190 is 91599453.

It is a happy number.

354995190 is a `hidden beast` number, since 3 + 549 + 95 + 19 + 0 = 666.

It is a super-2 number, since 2×3549951902 = 252043169846272200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354995191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3988666 + ... + 3988754.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2354995190 is an apocalyptic number.

354995190 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 354995190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559872000).

354995190 is an abundant number, since it is smaller than the sum of its proper divisors (764748810).

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

354995190 is a wasteful number, since it uses less digits than its factorization.

354995190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 354995190 is about 18841.3160368378. The cubic root of 354995190 is about 708.0666771447.

It can be divided in two parts, 35 and 4995190, that added together give a square (4995225 = 22352).

The spelling of 354995190 in words is "three hundred fifty-four million, nine hundred ninety-five thousand, one hundred ninety".