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98340032 = 267227967
BaseRepresentation
bin1011101110010…
…00110011000000
320212001012011102
411313020303000
5200133340112
613431433532
72302606430
oct567106300
9225035142
1098340032
115056835a
1228b258a8
13174b208b
14d0bc2c0
158977bc2
hex5dc8cc0

98340032 has 56 divisors (see below), whose sum is σ = 224235264. Its totient is φ = 41916672.

The previous prime is 98340031. The next prime is 98340049. The reversal of 98340032 is 23004389.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×983400322 = 19341523787522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98339977 and 98340004.

It is not an unprimeable number, because it can be changed into a prime (98340031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101213 + ... + 102179.

Almost surely, 298340032 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 98340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112117632).

98340032 is an abundant number, since it is smaller than the sum of its proper divisors (125895232).

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

98340032 is a wasteful number, since it uses less digits than its factorization.

98340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 98340032 is about 9916.6542745021. The cubic root of 98340032 is about 461.5762435623.

The spelling of 98340032 in words is "ninety-eight million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 227 448 454 908 967 1589 1816 1934 3178 3632 3868 6356 6769 7264 7736 12712 13538 14528 15472 25424 27076 30944 50848 54152 61888 101696 108304 216608 219509 433216 439018 878036 1536563 1756072 3073126 3512144 6146252 7024288 12292504 14048576 24585008 49170016 98340032