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172071324 = 223347109311
BaseRepresentation
bin10100100000110…
…01100110011100
3102222210010111000
422100121212130
5323022240244
625024030300
74156403445
oct1220314634
9388703430
10172071324
1189147807
1249762390
1329859069
1418bd22cc
151018e169
hexa41999c

172071324 has 96 divisors (see below), whose sum is σ = 461260800. Its totient is φ = 55442880.

The previous prime is 172071323. The next prime is 172071329. The reversal of 172071324 is 423170271.

It is a happy number.

It is a super-2 number, since 2×1720713242 = 59217081086225952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172071323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553129 + ... + 553439.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800).

Almost surely, 2172071324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172071324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

172071324 is an abundant number, since it is smaller than the sum of its proper divisors (289189476).

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

172071324 is a wasteful number, since it uses less digits than its factorization.

172071324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 172071324 is about 13117.5959687742. The cubic root of 172071324 is about 556.2066369597.

The spelling of 172071324 in words is "one hundred seventy-two million, seventy-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 109 141 188 218 282 311 327 423 436 564 622 654 846 933 981 1244 1269 1308 1692 1866 1962 2538 2799 2943 3732 3924 5076 5123 5598 5886 8397 10246 11196 11772 14617 15369 16794 20492 29234 30738 33588 33899 43851 46107 58468 61476 67798 87702 92214 101697 131553 135596 138321 175404 184428 203394 263106 276642 305091 394659 406788 526212 553284 610182 789318 915273 1220364 1578636 1593253 1830546 3186506 3661092 4779759 6373012 9559518 14339277 19119036 28678554 43017831 57357108 86035662 172071324