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353104224 = 25311334379
BaseRepresentation
bin10101000010111…
…111000101100000
3220121102112221020
4111002333011200
51210343313344
655012125440
711515223244
oct2502770540
9817375836
10353104224
11171355480
129a306880
1358202115
1434c78424
1520eed719
hex150bf160

353104224 has 48 divisors (see below), whose sum is σ = 1011165120. Its totient is φ = 107000960.

The previous prime is 353104187. The next prime is 353104231. The reversal of 353104224 is 422401353.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 353104194 and 353104203.

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 7 ways as a sum of consecutive naturals, for example, 166134 + ... + 168245.

It is an arithmetic number, because the mean of its divisors is an integer number (21065940).

Almost surely, 2353104224 is an apocalyptic number.

It is an amenable number.

353104224 is an abundant number, since it is smaller than the sum of its proper divisors (658060896).

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

353104224 is a wasteful number, since it uses less digits than its factorization.

353104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334403 (or 334395 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 353104224 is about 18791.0676652499. The cubic root of 353104224 is about 706.8072098932.

Adding to 353104224 its reverse (422401353), we get a palindrome (775505577).

The spelling of 353104224 in words is "three hundred fifty-three million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 334379 668758 1003137 1337516 2006274 2675032 3678169 4012548 5350064 7356338 8025096 10700128 11034507 14712676 16050192 22069014 29425352 32100384 44138028 58850704 88276056 117701408 176552112 353104224