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1034052480 = 2735561109
BaseRepresentation
bin111101101000100…
…110001110000000
32200001202022100000
4331220212032000
54104204134410
6250335200000
734424205156
oct7550461600
92601668300
101034052480
11490771a2a
1224a376000
13136300896
149b4933d6
1560baadc0
hex3da26380

1034052480 has 384 divisors, whose sum is σ = 3798194400. Its totient is φ = 268738560.

The previous prime is 1034052479. The next prime is 1034052493. The reversal of 1034052480 is 842504301.

1034052480 is a `hidden beast` number, since 10 + 3 + 405 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 9486666 + ... + 9486774.

Almost surely, 21034052480 is an apocalyptic number.

1034052480 is a gapful number since it is divisible by the number (10) 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 1034052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899097200).

1034052480 is an abundant number, since it is smaller than the sum of its proper divisors (2764141920).

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

1034052480 is an equidigital number, since it uses as much as digits as its factorization.

1034052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1034052480 is about 32156.6863964557. The cubic root of 1034052480 is about 1011.2243688380.

Adding to 1034052480 its reverse (842504301), we get a palindrome (1876556781).

The spelling of 1034052480 in words is "one billion, thirty-four million, fifty-two thousand, four hundred eighty".