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161344980 = 223352910303
BaseRepresentation
bin10011001110111…
…10110111010100
3102020121011201000
421213132313110
5312301014410
624002103300
73666260346
oct1147366724
9366534630
10161344980
1183090965
124604ab30
1327571a04
14175dd296
15e270dc0
hex99dedd4

161344980 has 96 divisors (see below), whose sum is σ = 519321600. Its totient is φ = 41537664.

The previous prime is 161344973. The next prime is 161344993. The reversal of 161344980 is 89443161.

161344980 is a `hidden beast` number, since 161 + 3 + 4 + 498 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10509 + ... + 20811.

It is an arithmetic number, because the mean of its divisors is an integer number (5409600).

Almost surely, 2161344980 is an apocalyptic number.

161344980 is a gapful number since it is divisible by the number (10) 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 161344980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259660800).

161344980 is an abundant number, since it is smaller than the sum of its proper divisors (357976620).

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

161344980 is a wasteful number, since it uses less digits than its factorization.

161344980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 161344980 is about 12702.1643824980. The cubic root of 161344980 is about 544.4004629503.

The spelling of 161344980 in words is "one hundred sixty-one million, three hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 10303 15660 20606 30909 41212 51515 61818 92727 103030 123636 154545 185454 206060 278181 298787 309090 370908 463635 556362 597574 618180 896361 927270 1112724 1195148 1390905 1493935 1792722 1854540 2689083 2781810 2987870 3585444 4481805 5378166 5563620 5975740 8067249 8963610 10756332 13445415 16134498 17927220 26890830 32268996 40336245 53781660 80672490 161344980