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84734280 = 23325534441
BaseRepresentation
bin1010000110011…
…11000101001000
312220102221120200
411003033011020
5133142444110
612224052200
72046141501
oct503170510
9186387520
1084734280
1143915134
1224464060
131472a237
14b379ba8
15768b6c0
hex50cf148

84734280 has 96 divisors (see below), whose sum is σ = 280645560. Its totient is φ = 22164480.

The previous prime is 84734267. The next prime is 84734303. The reversal of 84734280 is 8243748.

It can be written as a sum of positive squares in 4 ways, for example, as 71470116 + 13264164 = 8454^2 + 3642^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 16860 + ... + 21300.

Almost surely, 284734280 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 84734280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140322780).

84734280 is an abundant number, since it is smaller than the sum of its proper divisors (195911280).

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

84734280 is a wasteful number, since it uses less digits than its factorization.

84734280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84734280 is about 9205.1224869634. The cubic root of 84734280 is about 439.2243220627.

The spelling of 84734280 in words is "eighty-four million, seven hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4441 4770 6360 8882 9540 13323 17764 19080 22205 26646 35528 39969 44410 53292 66615 79938 88820 106584 133230 159876 177640 199845 235373 266460 319752 399690 470746 532920 706119 799380 941492 1176865 1412238 1598760 1882984 2118357 2353730 2824476 3530595 4236714 4707460 5648952 7061190 8473428 9414920 10591785 14122380 16946856 21183570 28244760 42367140 84734280