Search a number
-
+
354899214 = 232191278171
BaseRepresentation
bin10101001001110…
…101010100001110
3220201210202012100
4111021311110032
51211323233324
655114415530
711536410405
oct2511652416
9821722170
10354899214
1117237103a
129aa315a6
13586b0147
14351c463c
15212554c9
hex1527550e

354899214 has 48 divisors (see below), whose sum is σ = 815892480. Its totient is φ = 111177360.

The previous prime is 354899197. The next prime is 354899231. The reversal of 354899214 is 412998453.

354899214 is a `hidden beast` number, since 3 + 548 + 9 + 92 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (354899197) and next prime (354899231).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 354899214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39349 + ... + 47519.

It is an arithmetic number, because the mean of its divisors is an integer number (16997760).

Almost surely, 2354899214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354899214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407946240).

354899214 is an abundant number, since it is smaller than the sum of its proper divisors (460993266).

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

354899214 is a wasteful number, since it uses less digits than its factorization.

354899214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8325 (or 8322 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 354899214 is about 18838.7689088220. The cubic root of 354899214 is about 708.0028607564.

The spelling of 354899214 in words is "three hundred fifty-four million, eight hundred ninety-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 762 1143 2286 2413 4826 7239 8171 14478 16342 21717 24513 43434 49026 73539 147078 155249 310498 465747 931494 1037717 1397241 2075434 2794482 3113151 6226302 9339453 18678906 19716623 39433246 59149869 118299738 177449607 354899214