Search a number
-
+
354822468 = 22371113109271
BaseRepresentation
bin10101001001100…
…010100101000100
3220201122211220220
4111021202211010
51211313304333
655113024340
711535640560
oct2511424504
9821584826
10354822468
11172319410
129a9b50b0
1358684230
14351a46a0
152123c8b3
hex15262944

354822468 has 192 divisors, whose sum is σ = 1125949440. Its totient is φ = 83980800.

The previous prime is 354822467. The next prime is 354822493. The reversal of 354822468 is 864228453.

It is a super-2 number, since 2×3548224682 = 251797967595222048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (354822463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1309173 + ... + 1309443.

It is an arithmetic number, because the mean of its divisors is an integer number (5864320).

Almost surely, 2354822468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354822468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562974720).

354822468 is an abundant number, since it is smaller than the sum of its proper divisors (771126972).

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

354822468 is a wasteful number, since it uses less digits than its factorization.

354822468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 354822468 is about 18836.7318821498. The cubic root of 354822468 is about 707.9518225061.

It can be divided in two parts, 35482 and 2468, that added together give a triangular number (37950 = T275).

The spelling of 354822468 in words is "three hundred fifty-four million, eight hundred twenty-two thousand, four hundred sixty-eight".