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678003480 = 2333571131263
BaseRepresentation
bin101000011010011…
…000001100011000
31202020210010221000
4220122120030120
52342032102410
6151135545000
722541635350
oct5032301430
91666703830
10678003480
11318796060
1216b08b160
13aa60a2bb
146608db60
153e7c9dc0
hex28698318

678003480 has 512 divisors, whose sum is σ = 2919628800. Its totient is φ = 135820800.

The previous prime is 678003479. The next prime is 678003493. The reversal of 678003480 is 84300876.

It is a super-2 number, since 2×6780034802 = 919377437784220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2577829 + ... + 2578091.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2678003480 is an apocalyptic number.

678003480 is a gapful number since it is divisible by the number (60) 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 678003480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459814400).

678003480 is an abundant number, since it is smaller than the sum of its proper divisors (2241625320).

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

678003480 is a wasteful number, since it uses less digits than its factorization.

678003480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 678003480 is about 26038.4999567947. The cubic root of 678003480 is about 878.5044674045.

The spelling of 678003480 in words is "six hundred seventy-eight million, three thousand, four hundred eighty".