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31344320 = 265721999
BaseRepresentation
bin111011110010…
…0011011000000
32011222110022202
41313210123000
531011004240
63035452332
7530264600
oct167443300
964873282
1031344320
11167694a7
12a5b70a8
136655b47
14423cc00
152b42315
hex1de46c0

31344320 has 84 divisors (see below), whose sum is σ = 86868000. Its totient is φ = 10741248.

The previous prime is 31344307. The next prime is 31344329. The reversal of 31344320 is 2344313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31344292 and 31344301.

It is not an unprimeable number, because it can be changed into a prime (31344329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14681 + ... + 16679.

Almost surely, 231344320 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 31344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43434000).

31344320 is an abundant number, since it is smaller than the sum of its proper divisors (55523680).

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

31344320 is a wasteful number, since it uses less digits than its factorization.

31344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 31344320 is about 5598.5998249562. The cubic root of 31344320 is about 315.2968395276.

Adding to 31344320 its reverse (2344313), we get a palindrome (33688633).

The spelling of 31344320 in words is "thirty-one million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 1999 2240 3136 3920 3998 7840 7996 9995 13993 15680 15992 19990 27986 31984 39980 55972 63968 69965 79960 97951 111944 127936 139930 159920 195902 223888 279860 319840 391804 447776 489755 559720 639680 783608 895552 979510 1119440 1567216 1959020 2238880 3134432 3918040 4477760 6268864 7836080 15672160 31344320