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31442040 = 2333574159
BaseRepresentation
bin111011111110…
…0010001111000
32012011102101000
41313330101320
531022121130
63041525000
7531152520
oct167742170
965142330
1031442040
1116825963
12a643760
13668b476
144266680
152b61260
hex1dfc478

31442040 has 128 divisors (see below), whose sum is σ = 119808000. Its totient is φ = 7185024.

The previous prime is 31441999. The next prime is 31442069. The reversal of 31442040 is 4024413.

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 31 ways as a sum of consecutive naturals, for example, 5481 + ... + 9639.

It is an arithmetic number, because the mean of its divisors is an integer number (936000).

Almost surely, 231442040 is an apocalyptic number.

31442040 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 31442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59904000).

31442040 is an abundant number, since it is smaller than the sum of its proper divisors (88365960).

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

31442040 is a wasteful number, since it uses less digits than its factorization.

31442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 31442040 is about 5607.3202155754. The cubic root of 31442040 is about 315.6241592632.

Adding to 31442040 its reverse (4024413), we get a palindrome (35466453).

It can be divided in two parts, 3144 and 2040, that added together give a square (5184 = 722).

The spelling of 31442040 in words is "thirty-one million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 4159 7560 8318 12477 16636 20795 24954 29113 33272 37431 41590 49908 58226 62385 74862 83180 87339 99816 112293 116452 124770 145565 149724 166360 174678 187155 224586 232904 249540 262017 291130 299448 349356 374310 436695 449172 499080 524034 561465 582260 698712 748620 786051 873390 898344 1048068 1122930 1164520 1310085 1497240 1572102 1746780 2096136 2245860 2620170 3144204 3493560 3930255 4491720 5240340 6288408 7860510 10480680 15721020 31442040