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31354020 = 22335311873
BaseRepresentation
bin111011110011…
…0110010100100
32011222221122000
41313212302210
531011312040
63040005300
7530335065
oct167466244
964887560
1031354020
1116775815
12a600830
13665a399
14424256c
152b45130
hex1de6ca4

31354020 has 96 divisors (see below), whose sum is σ = 100746240. Its totient is φ = 8087040.

The previous prime is 31354019. The next prime is 31354021. The reversal of 31354020 is 2045313.

It is an interprime number because it is at equal distance from previous prime (31354019) and next prime (31354021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31353984 and 31354002.

It is not an unprimeable number, because it can be changed into a prime (31354021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15804 + ... + 17676.

It is an arithmetic number, because the mean of its divisors is an integer number (1049440).

Almost surely, 231354020 is an apocalyptic number.

31354020 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 31354020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50373120).

31354020 is an abundant number, since it is smaller than the sum of its proper divisors (69392220).

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

31354020 is a wasteful number, since it uses less digits than its factorization.

31354020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 31354020 is about 5599.4660459726. The cubic root of 31354020 is about 315.3293607193.

Adding to 31354020 its reverse (2045313), we get a palindrome (33399333).

The spelling of 31354020 in words is "thirty-one million, three hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 1873 2790 3348 3746 4185 5580 5619 7492 8370 9365 11238 16740 16857 18730 22476 28095 33714 37460 50571 56190 58063 67428 84285 101142 112380 116126 168570 174189 202284 232252 252855 290315 337140 348378 505710 522567 580630 696756 870945 1011420 1045134 1161260 1567701 1741890 2090268 2612835 3135402 3483780 5225670 6270804 7838505 10451340 15677010 31354020