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31422320 = 2454761137
BaseRepresentation
bin111011111011…
…1011101110000
32012010102022122
41313313131300
531021003240
63041253412
7531041156
oct167673560
965112278
1031422320
1116812066
12a634268
1366824b7
14425d3d6
152b5a4b5
hex1df7770

31422320 has 80 divisors (see below), whose sum is σ = 76387968. Its totient is φ = 12011520.

The previous prime is 31422317. The next prime is 31422323. The reversal of 31422320 is 2322413.

It is an interprime number because it is at equal distance from previous prime (31422317) and next prime (31422323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31422323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 229292 + ... + 229428.

Almost surely, 231422320 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 31422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38193984).

31422320 is an abundant number, since it is smaller than the sum of its proper divisors (44965648).

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

31422320 is a wasteful number, since it uses less digits than its factorization.

31422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 31422320 is about 5605.5615240580. The cubic root of 31422320 is about 315.5581604699.

Adding to 31422320 its reverse (2322413), we get a palindrome (33744733).

The spelling of 31422320 in words is "thirty-one million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 61 80 94 122 137 188 235 244 274 305 376 470 488 548 610 685 752 940 976 1096 1220 1370 1880 2192 2440 2740 2867 3760 4880 5480 5734 6439 8357 10960 11468 12878 14335 16714 22936 25756 28670 32195 33428 41785 45872 51512 57340 64390 66856 83570 103024 114680 128780 133712 167140 229360 257560 334280 392779 515120 668560 785558 1571116 1963895 3142232 3927790 6284464 7855580 15711160 31422320