Search a number
-
+
354161550 = 235297101241
BaseRepresentation
bin10101000111000…
…001001110001110
3220200102021022110
4111013001032032
51211131132200
655050524450
711530215651
oct2507011616
9820367273
10354161550
11171a078a6
129a736726
13584b2462
1435071898
152115bb50
hex151c138e

354161550 has 96 divisors (see below), whose sum is σ = 899879904. Its totient is φ = 92160000.

The previous prime is 354161491. The next prime is 354161551. The reversal of 354161550 is 55161453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354161551) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1469430 + ... + 1469670.

It is an arithmetic number, because the mean of its divisors is an integer number (9373749).

Almost surely, 2354161550 is an apocalyptic number.

354161550 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 354161550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449939952).

354161550 is an abundant number, since it is smaller than the sum of its proper divisors (545718354).

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

354161550 is a wasteful number, since it uses less digits than its factorization.

354161550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 354161550 is about 18819.1803753511. The cubic root of 354161550 is about 707.5119885427.

The spelling of 354161550 in words is "three hundred fifty-four million, one hundred sixty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 97 101 150 194 202 241 291 303 482 485 505 582 606 723 970 1010 1205 1446 1455 1515 2410 2425 2525 2910 3030 3615 4850 5050 6025 7230 7275 7575 9797 12050 14550 15150 18075 19594 23377 24341 29391 36150 46754 48682 48985 58782 70131 73023 97970 116885 121705 140262 146046 146955 233770 243410 244925 293910 350655 365115 489850 584425 608525 701310 730230 734775 1168850 1217050 1469550 1753275 1825575 2361077 3506550 3651150 4722154 7083231 11805385 14166462 23610770 35416155 59026925 70832310 118053850 177080775 354161550