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354248464 = 24191916101
BaseRepresentation
bin10101000111010…
…110011100010000
3220200120200112111
4111013112130100
51211141422324
655052435104
711531030233
oct2507263420
9820520474
10354248464
11171a67129
129a778a94
1358512b9b
143509541a
1521177794
hex151d6710

354248464 has 40 divisors (see below), whose sum is σ = 726382080. Its totient is φ = 166896000.

The previous prime is 354248459. The next prime is 354248473. The reversal of 354248464 is 464842453.

354248464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542484643 (a number of 27 digits) contains 333 as substring.

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, 55014 + ... + 61114.

It is an arithmetic number, because the mean of its divisors is an integer number (18159552).

Almost surely, 2354248464 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 354248464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363191040).

354248464 is an abundant number, since it is smaller than the sum of its proper divisors (372133616).

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

354248464 is a wasteful number, since it uses less digits than its factorization.

354248464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6313 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The square root of 354248464 is about 18821.4894203408. The cubic root of 354248464 is about 707.5698601246.

The spelling of 354248464 in words is "three hundred fifty-four million, two hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 764 1528 3056 3629 6101 7258 12202 14516 24404 29032 48808 58064 97616 115919 231838 463676 927352 1165291 1854704 2330582 4661164 9322328 18644656 22140529 44281058 88562116 177124232 354248464