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67314780 = 223351343223
BaseRepresentation
bin1000000001100…
…10010001011100
311200122221112000
410000302101130
5114213033110
610402442300
71445111001
oct400622134
9150587460
1067314780
1134aa7655
121a663390
1310c3b540
148d238a8
155d9a1c0
hex403245c

67314780 has 192 divisors, whose sum is σ = 231813120. Its totient is φ = 16111872.

The previous prime is 67314769. The next prime is 67314817. The reversal of 67314780 is 8741376.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301749 + ... + 301971.

It is an arithmetic number, because the mean of its divisors is an integer number (1207360).

Almost surely, 267314780 is an apocalyptic number.

67314780 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 67314780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115906560).

67314780 is an abundant number, since it is smaller than the sum of its proper divisors (164498340).

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

67314780 is a wasteful number, since it uses less digits than its factorization.

67314780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 67314780 is about 8204.5584890352. The cubic root of 67314780 is about 406.7898832336.

It can be divided in two parts, 6731 and 4780, that added together give a palindrome (11511).

The spelling of 67314780 in words is "sixty-seven million, three hundred fourteen thousand, seven hundred eighty".