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84331352 = 237373421
BaseRepresentation
bin1010000011011…
…00101101011000
312212200110212102
411001230231120
5133042100402
612211302532
72042543000
oct501545530
9185613772
1084331352
114366a436
12242aaa48
1314618a11
14b2b3000
15760c102
hex506cb58

84331352 has 64 divisors (see below), whose sum is σ = 187368000. Its totient is φ = 35562240.

The previous prime is 84331349. The next prime is 84331361. The reversal of 84331352 is 25313348.

It is a super-2 number, since 2×843313522 = 14223553860295808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200102 + ... + 200522.

It is an arithmetic number, because the mean of its divisors is an integer number (2927625).

Almost surely, 284331352 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 84331352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93684000).

84331352 is an abundant number, since it is smaller than the sum of its proper divisors (103036648).

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

84331352 is a wasteful number, since it uses less digits than its factorization.

84331352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 84331352 is about 9183.2103319046. The cubic root of 84331352 is about 438.5270165600.

The spelling of 84331352 in words is "eighty-four million, three hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 343 392 421 511 584 686 842 1022 1372 1684 2044 2744 2947 3368 3577 4088 5894 7154 11788 14308 20629 23576 25039 28616 30733 41258 50078 61466 82516 100156 122932 144403 165032 200312 215131 245864 288806 430262 577612 860524 1155224 1505917 1721048 3011834 6023668 10541419 12047336 21082838 42165676 84331352