[go: up one dir, main page]

Search a number
-
+
32000340 = 22352953347
BaseRepresentation
bin111101000010…
…0100101010100
32020012210012210
41322010211110
531143002330
63101513420
7535666311
oct172044524
966183183
1032000340
1117077369
12a872870
136825618
14436dd08
152c218b0
hex1e84954

32000340 has 96 divisors (see below), whose sum is σ = 94711680. Its totient is φ = 8060416.

The previous prime is 32000303. The next prime is 32000399. The reversal of 32000340 is 4300023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92047 + ... + 92393.

It is an arithmetic number, because the mean of its divisors is an integer number (986580).

Almost surely, 232000340 is an apocalyptic number.

32000340 is a gapful number since it is divisible by the number (30) 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 32000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47355840).

32000340 is an abundant number, since it is smaller than the sum of its proper divisors (62711340).

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

32000340 is a wasteful number, since it uses less digits than its factorization.

32000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 32000340 is about 5656.8843014508. The cubic root of 32000340 is about 317.4813347987.

Adding to 32000340 its reverse (4300023), we get a palindrome (36300363).

The spelling of 32000340 in words is "thirty-two million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 53 58 60 87 106 116 145 159 174 212 265 290 318 347 348 435 530 580 636 694 795 870 1041 1060 1388 1537 1590 1735 1740 2082 3074 3180 3470 4164 4611 5205 6148 6940 7685 9222 10063 10410 15370 18391 18444 20126 20820 23055 30189 30740 36782 40252 46110 50315 55173 60378 73564 91955 92220 100630 110346 120756 150945 183910 201260 220692 275865 301890 367820 533339 551730 603780 1066678 1103460 1600017 2133356 2666695 3200034 5333390 6400068 8000085 10666780 16000170 32000340