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31349808 = 2433721481
BaseRepresentation
bin111011110010…
…1110000110000
32011222201212000
41313211300300
531011143213
63035534000
7530316600
oct167456060
964881760
1031349808
1116772636
12a5ba300
1366584a9
144240c00
152b43c73
hex1de5c30

31349808 has 120 divisors (see below), whose sum is σ = 104747760. Its totient is φ = 8951040.

The previous prime is 31349803. The next prime is 31349821. The reversal of 31349808 is 80894313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31349803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20428 + ... + 21908.

It is an arithmetic number, because the mean of its divisors is an integer number (872898).

Almost surely, 231349808 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 31349808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52373880).

31349808 is an abundant number, since it is smaller than the sum of its proper divisors (73397952).

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

31349808 is a wasteful number, since it uses less digits than its factorization.

31349808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 31349808 is about 5599.0899260505. The cubic root of 31349808 is about 315.3152399702.

The spelling of 31349808 in words is "thirty-one million, three hundred forty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1481 1512 1764 2352 2646 2962 3024 3528 4443 5292 5924 7056 8886 10367 10584 11848 13329 17772 20734 21168 23696 26658 31101 35544 39987 41468 53316 62202 71088 72569 79974 82936 93303 106632 124404 145138 159948 165872 186606 213264 217707 248808 279909 290276 319896 373212 435414 497616 559818 580552 639792 653121 746424 870828 1119636 1161104 1306242 1492848 1741656 1959363 2239272 2612484 3483312 3918726 4478544 5224968 7837452 10449936 15674904 31349808