Search a number
-
+
355014414 = 2348924623
BaseRepresentation
bin10101001010010…
…001011100001110
3220202000121020000
4111022101130032
51211340430124
655121105130
711540400306
oct2512213416
9822017200
10355014414
1117243a647
129aa881a6
1358720701
1435214606
15212796c9
hex1529170e

355014414 has 40 divisors (see below), whose sum is σ = 804466080. Its totient is φ = 117003744.

The previous prime is 355014409. The next prime is 355014427. The reversal of 355014414 is 414410553.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2107 + ... + 26729.

It is an arithmetic number, because the mean of its divisors is an integer number (20111652).

Almost surely, 2355014414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355014414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402233040).

355014414 is an abundant number, since it is smaller than the sum of its proper divisors (449451666).

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

355014414 is a wasteful number, since it uses less digits than its factorization.

355014414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24726 (or 24717 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 355014414 is about 18841.8261853781. The cubic root of 355014414 is about 708.0794581893.

Adding to 355014414 its reverse (414410553), we get a palindrome (769424967).

The spelling of 355014414 in words is "three hundred fifty-five million, fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1602 2403 4806 7209 14418 24623 49246 73869 147738 221607 443214 664821 1329642 1994463 2191447 3988926 4382894 6574341 13148682 19723023 39446046 59169069 118338138 177507207 355014414