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734676480 = 293551181
BaseRepresentation
bin101011110010100…
…100011000000000
31220012102102200000
4223302210120000
53001034121410
6200522400000
724130434636
oct5362443000
91805372600
10734676480
1134778434a
12186060000
13b9290b15
146d803356
1544771dc0
hex2bca4600

734676480 has 240 divisors, whose sum is σ = 2640862224. Its totient is φ = 195747840.

The previous prime is 734676479. The next prime is 734676487. The reversal of 734676480 is 84676437.

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 not an unprimeable number, because it can be changed into a prime (734676487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621490 + ... + 622670.

Almost surely, 2734676480 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 734676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320431112).

734676480 is an abundant number, since it is smaller than the sum of its proper divisors (1906185744).

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

734676480 is an equidigital number, since it uses as much as digits as its factorization.

734676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 734676480 is about 27104.9161592505. The cubic root of 734676480 is about 902.3299628759.

The spelling of 734676480 in words is "seven hundred thirty-four million, six hundred seventy-six thousand, four hundred eighty".