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319100040 = 23335742209
BaseRepresentation
bin10011000001010…
…001010010001000
3211020102221222000
4103001101102020
51123142200130
651355231000
710623206550
oct2301212210
9736387860
10319100040
1115413a646
128aa48460
13511576bc
1430546160
151d033260
hex13051488

319100040 has 128 divisors (see below), whose sum is σ = 1215648000. Its totient is φ = 72935424.

The previous prime is 319100017. The next prime is 319100053. The reversal of 319100040 is 40001913.

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 = 319099986 and 319100022.

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, 13545 + ... + 28664.

It is an arithmetic number, because the mean of its divisors is an integer number (9497250).

Almost surely, 2319100040 is an apocalyptic number.

319100040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

319100040 is an abundant number, since it is smaller than the sum of its proper divisors (896547960).

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

319100040 is a wasteful number, since it uses less digits than its factorization.

319100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42236 (or 42226 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 319100040 is about 17863.3714622968. The cubic root of 319100040 is about 683.3485641393.

Adding to 319100040 its reverse (40001913), we get a palindrome (359101953).

The spelling of 319100040 in words is "three hundred nineteen million, one hundred 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 7560 42209 84418 126627 168836 211045 253254 295463 337672 379881 422090 506508 590926 633135 759762 844180 886389 1013016 1139643 1181852 1266270 1477315 1519524 1688360 1772778 1899405 2279286 2363704 2532540 2659167 2954630 3039048 3545556 3798810 4431945 4558572 5065080 5318334 5698215 5909260 7091112 7597620 7977501 8863890 9117144 10636668 11396430 11818520 13295835 15195240 15955002 17727780 21273336 22792860 26591670 31910004 35455560 39887505 45585720 53183340 63820008 79775010 106366680 159550020 319100040