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161319348 = 223219212413
BaseRepresentation
bin10011001110110…
…00100110110100
3102020112212112200
421213120212310
5312244204343
624001344500
73666122541
oct1147304664
9366485480
10161319348
1183073683
1246038130
1327563148
14175d3bc8
15e2684d3
hex99d89b4

161319348 has 54 divisors (see below), whose sum is σ = 430405794. Its totient is φ = 50938848.

The previous prime is 161319331. The next prime is 161319349. The reversal of 161319348 is 843913161.

161319348 is a `hidden beast` number, since 1 + 613 + 1 + 9 + 34 + 8 = 666.

161319348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 124813584 + 36505764 = 11172^2 + 6042^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161319349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6790 + ... + 19202.

Almost surely, 2161319348 is an apocalyptic number.

161319348 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 161319348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215202897).

161319348 is an abundant number, since it is smaller than the sum of its proper divisors (269086446).

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

161319348 is a wasteful number, since it uses less digits than its factorization.

161319348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12461 (or 12437 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 161319348 is about 12701.1553805156. The cubic root of 161319348 is about 544.3716327761.

The spelling of 161319348 in words is "one hundred sixty-one million, three hundred nineteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12413 12996 24826 37239 49652 74478 111717 148956 223434 235847 446868 471694 707541 943388 1415082 2122623 2830164 4245246 4481093 8490492 8962186 13443279 17924372 26886558 40329837 53773116 80659674 161319348