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31396288 = 2671123277
BaseRepresentation
bin111011111000…
…1000111000000
32012002002121111
41313301013000
531014140123
63040533104
7530602240
oct167610700
965062544
1031396288
11167a4550
12a621194
1366736b1
144253b20
152b5290d
hex1df11c0

31396288 has 112 divisors (see below), whose sum is σ = 81345024. Its totient is φ = 11658240.

The previous prime is 31396279. The next prime is 31396289. The reversal of 31396288 is 88269313.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 31396288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31396289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113206 + ... + 113482.

Almost surely, 231396288 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 31396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40672512).

31396288 is an abundant number, since it is smaller than the sum of its proper divisors (49948736).

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

31396288 is a wasteful number, since it uses less digits than its factorization.

31396288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 31396288 is about 5603.2390632562. The cubic root of 31396288 is about 315.4709944092.

It can be divided in two parts, 31396 and 288, that added together give a square (31684 = 1782).

The spelling of 31396288 in words is "thirty-one million, three hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 154 161 176 184 224 253 277 308 322 352 368 448 506 554 616 644 704 736 1012 1108 1232 1288 1472 1771 1939 2024 2216 2464 2576 3047 3542 3878 4048 4432 4928 5152 6094 6371 7084 7756 8096 8864 10304 12188 12742 14168 15512 16192 17728 21329 24376 25484 28336 31024 42658 44597 48752 50968 56672 62048 70081 85316 89194 97504 101936 113344 124096 140162 170632 178388 195008 203872 280324 341264 356776 407744 490567 560648 682528 713552 981134 1121296 1365056 1427104 1962268 2242592 2854208 3924536 4485184 7849072 15698144 31396288