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350700480 = 2632513171929
BaseRepresentation
bin10100111001110…
…100001111000000
3220102220102121200
4110321310033000
51204234403410
654444421200
711455622244
oct2471641700
9812812550
10350700480
1116aa63509
1299547800
135786cca0
1434810424
1520bc63c0
hex14e743c0

350700480 has 672 divisors, whose sum is σ = 1497787200. Its totient is φ = 74317824.

The previous prime is 350700479. The next prime is 350700503. The reversal of 350700480 is 84007053.

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 95 ways as a sum of consecutive naturals, for example, 12093106 + ... + 12093134.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 2350700480 is an apocalyptic number.

350700480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600).

350700480 is an abundant number, since it is smaller than the sum of its proper divisors (1147086720).

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

350700480 is a wasteful number, since it uses less digits than its factorization.

350700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 350700480 is about 18726.9986917285. The cubic root of 350700480 is about 705.1997019895.

The spelling of 350700480 in words is "three hundred fifty million, seven hundred thousand, four hundred eighty".