Search a number
-
+
31313304 = 23341123191
BaseRepresentation
bin111011101110…
…0110110011000
32011220212210000
41313130312120
531004011204
63035053000
7530105301
oct167346630
964825700
1031313304
1116748170
12a5a1160
1366449a9
1442317a8
152b38039
hex1ddcd98

31313304 has 160 divisors (see below), whose sum is σ = 100362240. Its totient is φ = 9028800.

The previous prime is 31313297. The next prime is 31313351. The reversal of 31313304 is 40331313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163849 + ... + 164039.

It is an arithmetic number, because the mean of its divisors is an integer number (627264).

Almost surely, 231313304 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 31313304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50181120).

31313304 is an abundant number, since it is smaller than the sum of its proper divisors (69048936).

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

31313304 is a wasteful number, since it uses less digits than its factorization.

31313304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 31313304 is about 5595.8291610806. The cubic root of 31313304 is about 315.1928071314.

Adding to 31313304 its reverse (40331313), we get a palindrome (71644617).

Subtracting 31313304 from its reverse (40331313), we obtain a square (9018009 = 30032).

The spelling of 31313304 in words is "thirty-one million, three hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 132 138 162 184 191 198 207 216 253 264 276 297 324 382 396 414 506 552 573 594 621 648 759 764 792 828 891 1012 1146 1188 1242 1518 1528 1656 1719 1782 1863 2024 2101 2277 2292 2376 2484 3036 3438 3564 3726 4202 4393 4554 4584 4968 5157 6072 6303 6831 6876 7128 7452 8404 8786 9108 10314 12606 13179 13662 13752 14904 15471 16808 17572 18216 18909 20493 20628 25212 26358 27324 30942 35144 37818 39537 40986 41256 48323 50424 52716 54648 56727 61884 75636 79074 81972 96646 105432 113454 118611 123768 144969 151272 158148 163944 170181 193292 226908 237222 289938 316296 340362 355833 386584 434907 453816 474444 579876 680724 711666 869814 948888 1159752 1304721 1361448 1423332 1739628 2609442 2846664 3479256 3914163 5218884 7828326 10437768 15656652 31313304