Search a number
-
+
354672904 = 23174755487
BaseRepresentation
bin10101001000111…
…110000100001000
3220201101020202111
4111020332010020
51211244013104
655105512104
711534445535
oct2510760410
9821336674
10354672904
11172227003
129a942634
1358631131
1435165d8c
152120d404
hex1523e108

354672904 has 32 divisors (see below), whose sum is σ = 719124480. Its totient is φ = 163350784.

The previous prime is 354672889. The next prime is 354672907. The reversal of 354672904 is 409276453.

It is a happy number.

354672904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (354672907) 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 7 ways as a sum of consecutive naturals, for example, 21352 + ... + 34135.

It is an arithmetic number, because the mean of its divisors is an integer number (22472640).

Almost surely, 2354672904 is an apocalyptic number.

354672904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

354672904 is an abundant number, since it is smaller than the sum of its proper divisors (364451576).

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

354672904 is a wasteful number, since it uses less digits than its factorization.

354672904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55557 (or 55553 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 354672904 is about 18832.7614544442. The cubic root of 354672904 is about 707.8523370857.

The spelling of 354672904 in words is "three hundred fifty-four million, six hundred seventy-two thousand, nine hundred four".

Divisors: 1 2 4 8 17 34 47 68 94 136 188 376 799 1598 3196 6392 55487 110974 221948 443896 943279 1886558 2607889 3773116 5215778 7546232 10431556 20863112 44334113 88668226 177336452 354672904