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31034080 = 2557112229
BaseRepresentation
bin111011001100…
…0101011100000
32011101200202101
41312120223200
530421042310
63025100144
7524533240
oct166305340
964350671
1031034080
1116577400
12a487654
13657787c
14419bb20
152ad043a
hex1d98ae0

31034080 has 144 divisors (see below), whose sum is σ = 92504160. Its totient is φ = 9630720.

The previous prime is 31034077. The next prime is 31034093. The reversal of 31034080 is 8043013.

It is a super-2 number, since 2×310340802 = 1926228242892800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135406 + ... + 135634.

It is an arithmetic number, because the mean of its divisors is an integer number (642390).

Almost surely, 231034080 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 31034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46252080).

31034080 is an abundant number, since it is smaller than the sum of its proper divisors (61470080).

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

31034080 is a wasteful number, since it uses less digits than its factorization.

31034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 31034080 is about 5570.8239965018. The cubic root of 31034080 is about 314.2531394810.

Adding to 31034080 its reverse (8043013), we get a palindrome (39077093).

The spelling of 31034080 in words is "thirty-one million, thirty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 229 242 280 308 352 385 440 458 484 560 605 616 770 847 880 916 968 1120 1145 1210 1232 1540 1603 1694 1760 1832 1936 2290 2420 2464 2519 3080 3206 3388 3664 3872 4235 4580 4840 5038 6160 6412 6776 7328 8015 8470 9160 9680 10076 12320 12595 12824 13552 16030 16940 17633 18320 19360 20152 25190 25648 27104 27709 32060 33880 35266 36640 40304 50380 51296 55418 64120 67760 70532 80608 88165 100760 110836 128240 135520 138545 141064 176330 193963 201520 221672 256480 277090 282128 352660 387926 403040 443344 554180 564256 705320 775852 886688 969815 1108360 1410640 1551704 1939630 2216720 2821280 3103408 3879260 4433440 6206816 7758520 15517040 31034080