[go: up one dir, main page]

Search a number
-
+
354525344 = 25172332797
BaseRepresentation
bin10101001000011…
…010000010100000
3220201002202100022
4111020122002200
51211224302334
655102413012
711533262405
oct2510320240
9821082308
10354525344
11172136158
129a891168
13585abc14
14351282ac
15211ce82e
hex1521a0a0

354525344 has 48 divisors (see below), whose sum is σ = 742466088. Its totient is φ = 166060032.

The previous prime is 354525329. The next prime is 354525349. The reversal of 354525344 is 443525453.

It can be written as a sum of positive squares in 4 ways, for example, as 327610000 + 26915344 = 18100^2 + 5188^2 .

It is not an unprimeable number, because it can be changed into a prime (354525349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125354 + ... + 128150.

Almost surely, 2354525344 is an apocalyptic number.

354525344 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 354525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371233044).

354525344 is an abundant number, since it is smaller than the sum of its proper divisors (387940744).

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

354525344 is a wasteful number, since it uses less digits than its factorization.

354525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3049 counting only the distinct ones).

The product of its digits is 144000, while the sum is 35.

The square root of 354525344 is about 18828.8434057963. The cubic root of 354525344 is about 707.7541572526.

The spelling of 354525344 in words is "three hundred fifty-four million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 233 272 466 544 932 1864 2797 3728 3961 5594 7456 7922 11188 15844 22376 31688 44752 47549 63376 89504 95098 126752 190196 380392 651701 760784 1303402 1521568 2606804 5213608 10427216 11078917 20854432 22157834 44315668 88631336 177262672 354525344