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3469452480 = 2633513172379
BaseRepresentation
bin1100111011001011…
…1010010011000000
322221210101110002000
43032302322103000
524101134434410
61332134224000
7151655600544
oct31662722300
98853343060
103469452480
111520462aaa
12809ab5000
13433a32380
1424cac9a24
151548c5dc0
hexcecba4c0

3469452480 has 896 divisors, whose sum is σ = 14747443200. Its totient is φ = 759103488.

The previous prime is 3469452443. The next prime is 3469452523. The reversal of 3469452480 is 842549643.

3469452480 is a `hidden beast` number, since 3 + 46 + 9 + 4 + 524 + 80 = 666.

It is a super-3 number, since 3×34694524803 (a number of 30 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 43917081 + ... + 43917159.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 23469452480 is an apocalyptic number.

3469452480 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 3469452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373721600).

3469452480 is an abundant number, since it is smaller than the sum of its proper divisors (11277990720).

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

3469452480 is a wasteful number, since it uses less digits than its factorization.

3469452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3469452480 is about 58902.0583681080. The cubic root of 3469452480 is about 1513.8644171366.

The spelling of 3469452480 in words is "three billion, four hundred sixty-nine million, four hundred fifty-two thousand, four hundred eighty".