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3469800960 = 29325732063
BaseRepresentation
bin1100111011010000…
…1111011000000000
322221211001011002200
43032310033120000
524101232112320
61332145513200
7151661551533
oct31664173000
98854034080
103469800960
1115206808aa
1280a042800
13433b24b82
1424cb7aa1a
15154944290
hexced0f600

3469800960 has 240 divisors, whose sum is σ = 12187416384. Its totient is φ = 912162816.

The previous prime is 3469800941. The next prime is 3469801001. The reversal of 3469800960 is 690089643.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680889 + ... + 1682951.

Almost surely, 23469800960 is an apocalyptic number.

3469800960 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 3469800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093708192).

3469800960 is an abundant number, since it is smaller than the sum of its proper divisors (8717615424).

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

3469800960 is a wasteful number, since it uses less digits than its factorization.

3469800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3469800960 is about 58905.0164247494. The cubic root of 3469800960 is about 1513.9151008120.

The spelling of 3469800960 in words is "three billion, four hundred sixty-nine million, eight hundred thousand, nine hundred sixty".