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84311352 = 233229149271
BaseRepresentation
bin1010000011001…
…11110100111000
312212122110102200
411001213310320
5133040430402
612211030200
72042430456
oct501476470
9185573380
1084311352
1143656404
122429b360
131460c898
14b2a99d6
15760621c
hex5067d38

84311352 has 96 divisors (see below), whose sum is σ = 238680000. Its totient is φ = 26853120.

The previous prime is 84311309. The next prime is 84311369. The reversal of 84311352 is 25311348.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310977 + ... + 311247.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 284311352 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 84311352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340000).

84311352 is an abundant number, since it is smaller than the sum of its proper divisors (154368648).

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

84311352 is a wasteful number, since it uses less digits than its factorization.

84311352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 84311352 is about 9182.1213235287. The cubic root of 84311352 is about 438.4923468373.

The spelling of 84311352 in words is "eighty-four million, three hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 149 174 232 261 271 298 348 447 522 542 596 696 813 894 1044 1084 1192 1341 1626 1788 2088 2168 2439 2682 3252 3576 4321 4878 5364 6504 7859 8642 9756 10728 12963 15718 17284 19512 23577 25926 31436 34568 38889 40379 47154 51852 62872 70731 77778 80758 94308 103704 121137 141462 155556 161516 188616 242274 282924 311112 323032 363411 484548 565848 726822 969096 1170991 1453644 2341982 2907288 3512973 4683964 7025946 9367928 10538919 14051892 21077838 28103784 42155676 84311352