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3432089142 = 232375479421
BaseRepresentation
bin1100110010010001…
…1000011000110110
322212012002012012200
43030210120120312
524012103323032
61324321325330
7151023163536
oct31444303066
98765065180
103432089142
111501363409
127b9496846
1342907c9a1
14247b614c6
1515149547c
hexcc918636

3432089142 has 48 divisors (see below), whose sum is σ = 7651945392. Its totient is φ = 1110957120.

The previous prime is 3432089119. The next prime is 3432089159. The reversal of 3432089142 is 2419802343.

3432089142 is a `hidden beast` number, since 3 + 432 + 0 + 89 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3432089097 and 3432089106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359592 + ... + 369012.

It is an arithmetic number, because the mean of its divisors is an integer number (159415529).

Almost surely, 23432089142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432089142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825972696).

3432089142 is an abundant number, since it is smaller than the sum of its proper divisors (4219856250).

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

3432089142 is a wasteful number, since it uses less digits than its factorization.

3432089142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 10010 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3432089142 is about 58584.0348729925. The cubic root of 3432089142 is about 1508.4104059135.

The spelling of 3432089142 in words is "three billion, four hundred thirty-two million, eighty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 547 666 1094 1641 3282 4923 9421 9846 18842 20239 28263 40478 56526 60717 84789 121434 169578 182151 348577 364302 697154 1045731 2091462 3137193 5153287 6274386 10306574 15459861 30919722 46379583 92759166 190671619 381343238 572014857 1144029714 1716044571 3432089142