Search a number
-
+
31352040 = 23325731193
BaseRepresentation
bin111011110011…
…0010011101000
32011222211220200
41313212103220
531011231130
63035552200
7530326236
oct167462350
964884820
1031352040
1116774285
12a5bb660
136659505
144241956
152b44760
hex1de64e8

31352040 has 96 divisors (see below), whose sum is σ = 103376520. Its totient is φ = 8239104.

The previous prime is 31352023. The next prime is 31352051. The reversal of 31352040 is 4025313.

It can be written as a sum of positive squares in 4 ways, for example, as 26071236 + 5280804 = 5106^2 + 2298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25684 + ... + 26876.

Almost surely, 231352040 is an apocalyptic number.

31352040 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 31352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51688260).

31352040 is an abundant number, since it is smaller than the sum of its proper divisors (72024480).

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

31352040 is a wasteful number, since it uses less digits than its factorization.

31352040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 31352040 is about 5599.2892406090. The cubic root of 31352040 is about 315.3227229178.

Adding to 31352040 its reverse (4025313), we get a palindrome (35377353).

The spelling of 31352040 in words is "thirty-one million, three hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1193 1314 1460 1752 2190 2386 2628 2920 3285 3579 4380 4772 5256 5965 6570 7158 8760 9544 10737 11930 13140 14316 17895 21474 23860 26280 28632 35790 42948 47720 53685 71580 85896 87089 107370 143160 174178 214740 261267 348356 429480 435445 522534 696712 783801 870890 1045068 1306335 1567602 1741780 2090136 2612670 3135204 3483560 3919005 5225340 6270408 7838010 10450680 15676020 31352040