Search a number
-
+
31384152 = 23333143109
BaseRepresentation
bin111011110111…
…0001001011000
32012001110222000
41313232021120
531013243102
63040401000
7530521662
oct167561130
965043860
1031384152
1116796418
12a616160
13666b007
14424d532
152b4e01c
hex1dee258

31384152 has 128 divisors (see below), whose sum is σ = 92928000. Its totient is φ = 9797760.

The previous prime is 31384151. The next prime is 31384153. The reversal of 31384152 is 25148313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31384151) and next prime (31384153).

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 (31384151) 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, 287874 + ... + 287982.

It is an arithmetic number, because the mean of its divisors is an integer number (726000).

Almost surely, 231384152 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 31384152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46464000).

31384152 is an abundant number, since it is smaller than the sum of its proper divisors (61543848).

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

31384152 is a wasteful number, since it uses less digits than its factorization.

31384152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 31384152 is about 5602.1560135362. The cubic root of 31384152 is about 315.4303415206.

The spelling of 31384152 in words is "thirty-one million, three hundred eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 43 54 62 72 86 93 108 109 124 129 172 186 216 218 248 258 279 327 344 372 387 436 516 558 654 744 774 837 872 981 1032 1116 1161 1308 1333 1548 1674 1962 2232 2322 2616 2666 2943 3096 3348 3379 3924 3999 4644 4687 5332 5886 6696 6758 7848 7998 9288 9374 10137 10664 11772 11997 13516 14061 15996 18748 20274 23544 23994 27032 28122 30411 31992 35991 37496 40548 42183 47988 56244 60822 71982 81096 84366 91233 95976 112488 121644 126549 143964 145297 168732 182466 243288 253098 287928 290594 337464 364932 435891 506196 581188 729864 871782 1012392 1162376 1307673 1743564 2615346 3487128 3923019 5230692 7846038 10461384 15692076 31384152