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84361312 = 2571372749
BaseRepresentation
bin1010000011101…
…00000001100000
312212201222222001
411001310001200
5133044030222
612212053344
72043026230
oct501640140
9185658861
1084361312
114368a9a2
1224304254
1314629549
14b2bdcc0
157615e27
hex5074060

84361312 has 48 divisors (see below), whose sum is σ = 191268000. Its totient is φ = 35877888.

The previous prime is 84361307. The next prime is 84361331. The reversal of 84361312 is 21316348.

It is a super-2 number, since 2×843613122 = 14233661924722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29314 + ... + 32062.

It is an arithmetic number, because the mean of its divisors is an integer number (3984750).

Almost surely, 284361312 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 84361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95634000).

84361312 is an abundant number, since it is smaller than the sum of its proper divisors (106906688).

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

84361312 is a wasteful number, since it uses less digits than its factorization.

84361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2895 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 84361312 is about 9184.8414248696. The cubic root of 84361312 is about 438.5789415501.

The spelling of 84361312 in words is "eighty-four million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 2749 3836 4384 5498 7672 10996 15344 19243 21992 30688 38486 43984 76972 87968 153944 307888 376613 615776 753226 1506452 2636291 3012904 5272582 6025808 10545164 12051616 21090328 42180656 84361312