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31704372 = 2234721997
BaseRepresentation
bin111100011110…
…0010100110100
32012122202020000
41320330110310
531104014442
63051311300
7533324400
oct170742464
965582200
1031704372
1116994a67
12a74b530
1367509ab
1442d4100
152bb3d4c
hex1e3c534

31704372 has 90 divisors (see below), whose sum is σ = 96461442. Its totient is φ = 9053856.

The previous prime is 31704347. The next prime is 31704377. The reversal of 31704372 is 27340713.

It can be written as a sum of positive squares in only one way, i.e., 18352656 + 13351716 = 4284^2 + 3654^2 .

It is a super-4 number, since 4×317043724 (a number of 31 digits) contains 4444 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 (31704377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14878 + ... + 16874.

Almost surely, 231704372 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 31704372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48230721).

31704372 is an abundant number, since it is smaller than the sum of its proper divisors (64757070).

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

31704372 is a wasteful number, since it uses less digits than its factorization.

31704372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 31704372 is about 5630.6635488191. The cubic root of 31704372 is about 316.4995170811.

The spelling of 31704372 in words is "thirty-one million, seven hundred four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 1997 2268 2646 3969 3994 5292 5991 7938 7988 11982 13979 15876 17973 23964 27958 35946 41937 53919 55916 71892 83874 97853 107838 125811 161757 167748 195706 215676 251622 293559 323514 377433 391412 503244 587118 647028 754866 880677 1132299 1174236 1509732 1761354 2264598 2642031 3522708 4529196 5284062 7926093 10568124 15852186 31704372