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31234000 = 245372397
BaseRepresentation
bin111011100100…
…1011111010000
32011202211222211
41313021133100
530443442000
63033241504
7526325140
oct167113720
964684884
1031234000
11166a3626
12a563294
136617875
144210920
152b1e7ba
hex1dc97d0

31234000 has 160 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 10137600.

The previous prime is 31233989. The next prime is 31234001. The reversal of 31234000 is 43213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31234001) 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, 321952 + ... + 322048.

Almost surely, 231234000 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 31234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

31234000 is an abundant number, since it is smaller than the sum of its proper divisors (59760176).

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

31234000 is a wasteful number, since it uses less digits than its factorization.

31234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 31234000 is about 5588.7386770183. The cubic root of 31234000 is about 314.9264966652.

Adding to 31234000 its reverse (43213), we get a palindrome (31277213).

The spelling of 31234000 in words is "thirty-one million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 97 100 112 115 125 140 161 175 184 194 200 230 250 280 322 350 368 388 400 460 485 500 560 575 644 679 700 776 805 875 920 970 1000 1150 1288 1358 1400 1552 1610 1750 1840 1940 2000 2231 2300 2425 2576 2716 2800 2875 3220 3395 3500 3880 4025 4462 4600 4850 5432 5750 6440 6790 7000 7760 8050 8924 9200 9700 10864 11155 11500 12125 12880 13580 14000 15617 16100 16975 17848 19400 20125 22310 23000 24250 27160 31234 32200 33950 35696 38800 40250 44620 46000 48500 54320 55775 62468 64400 67900 78085 80500 84875 89240 97000 111550 124936 135800 156170 161000 169750 178480 194000 223100 249872 271600 278875 312340 322000 339500 390425 446200 557750 624680 679000 780850 892400 1115500 1249360 1358000 1561700 1952125 2231000 3123400 3904250 4462000 6246800 7808500 15617000 31234000