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354465048 = 23372109911
BaseRepresentation
bin10101001000001…
…011010100011000
3220200222200122010
4111020023110120
51211220340143
655101225520
711532621540
oct2510132430
9820880563
10354465048
111720a4923
129a8622a0
135858a642
1435110320
15211bba33
hex1520b518

354465048 has 32 divisors (see below), whose sum is σ = 1012757760. Its totient is φ = 101275680.

The previous prime is 354465047. The next prime is 354465053. The reversal of 354465048 is 840564453.

It is a super-3 number, since 3×3544650483 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 354464997 and 354465015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354465043) 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, 1054788 + ... + 1055123.

It is an arithmetic number, because the mean of its divisors is an integer number (31648680).

Almost surely, 2354465048 is an apocalyptic number.

It is an amenable number.

354465048 is an abundant number, since it is smaller than the sum of its proper divisors (658292712).

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

354465048 is a wasteful number, since it uses less digits than its factorization.

354465048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109927 (or 2109923 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 354465048 is about 18827.2421772282. The cubic root of 354465048 is about 707.7140311469.

The spelling of 354465048 in words is "three hundred fifty-four million, four hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2109911 4219822 6329733 8439644 12659466 14769377 16879288 25318932 29538754 44308131 50637864 59077508 88616262 118155016 177232524 354465048