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355242064 = 24171996563
BaseRepresentation
bin10101001011001…
…001000001010000
3220202110011111111
4111023021001100
51211420221224
655130023104
711542336102
oct2513110120
9822404444
10355242064
11172585691
129ab77a94
13587a0208
1435273572
15212c1d94
hex152c9050

355242064 has 40 divisors (see below), whose sum is σ = 732542400. Its totient is φ = 166307328.

The previous prime is 355242059. The next prime is 355242071. The reversal of 355242064 is 460242553.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50847 + ... + 57409.

It is an arithmetic number, because the mean of its divisors is an integer number (18313560).

Almost surely, 2355242064 is an apocalyptic number.

355242064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366271200).

355242064 is an abundant number, since it is smaller than the sum of its proper divisors (377300336).

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

355242064 is a wasteful number, since it uses less digits than its factorization.

355242064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 355242064 is about 18847.8662983373. The cubic root of 355242064 is about 708.2307758445.

The spelling of 355242064 in words is "three hundred fifty-five million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 199 272 398 796 1592 3184 3383 6563 6766 13126 13532 26252 27064 52504 54128 105008 111571 223142 446284 892568 1306037 1785136 2612074 5224148 10448296 20896592 22202629 44405258 88810516 177621032 355242064