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161340048 = 24328313499
BaseRepresentation
bin10011001110111…
…01101010010000
3102020120220221100
421213131222100
5312300340143
624002024400
73666240102
oct1147355220
9366526840
10161340048
1183088191
1246048100
132756c6ac
14175db572
15e26e6d3
hex99dda90

161340048 has 60 divisors (see below), whose sum is σ = 457002000. Its totient is φ = 53128128.

The previous prime is 161340029. The next prime is 161340073. The reversal of 161340048 is 840043161.

161340048 is a `hidden beast` number, since 1 + 613 + 4 + 0 + 0 + 48 = 666.

161340048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1613400482 = 52061222177284608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5203 + ... + 18701.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2161340048 is an apocalyptic number.

161340048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161340048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228501000).

161340048 is an abundant number, since it is smaller than the sum of its proper divisors (295661952).

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

161340048 is a wasteful number, since it uses less digits than its factorization.

161340048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13596 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 161340048 is about 12701.9702408721. The cubic root of 161340048 is about 544.3949158085.

The spelling of 161340048 in words is "one hundred sixty-one million, three hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952 13499 26998 40497 53996 80994 107992 121491 161988 215984 242982 323976 485964 647952 971928 1120417 1943856 2240834 3361251 4481668 6722502 8963336 10083753 13445004 17926672 20167506 26890008 40335012 53780016 80670024 161340048