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31313340 = 22325414243
BaseRepresentation
bin111011101110…
…0110110111100
32011220212211100
41313130312330
531004011330
63035053100
7530105352
oct167346674
964825740
1031313340
11167481a3
12a5a1190
136644a06
1442317d2
152b38060
hex1ddcdbc

31313340 has 72 divisors (see below), whose sum is σ = 97323408. Its totient is φ = 8144640.

The previous prime is 31313297. The next prime is 31313351. The reversal of 31313340 is 4331313.

31313340 is a `hidden beast` number, since 313 + 13 + 340 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5259 + ... + 9501.

It is an arithmetic number, because the mean of its divisors is an integer number (1351714).

Almost surely, 231313340 is an apocalyptic number.

31313340 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 31313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48661704).

31313340 is an abundant number, since it is smaller than the sum of its proper divisors (66010068).

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

31313340 is a wasteful number, since it uses less digits than its factorization.

31313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4294 counting only the distinct ones).

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

The square root of 31313340 is about 5595.8323777611. The cubic root of 31313340 is about 315.1929279207.

Adding to 31313340 its reverse (4331313), we get a palindrome (35644653).

The spelling of 31313340 in words is "thirty-one million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 4243 7380 8486 12729 16972 21215 25458 38187 42430 50916 63645 76374 84860 127290 152748 173963 190935 254580 347926 381870 521889 695852 763740 869815 1043778 1565667 1739630 2087556 2609445 3131334 3479260 5218890 6262668 7828335 10437780 15656670 31313340