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34731462040 = 23511791995021
BaseRepresentation
bin100000010110001010…
…000000110110011000
310022122111101002002221
4200112022000312120
51032112223241130
623542211433424
72336451361552
oct402612006630
9108574332087
1034731462040
1113803006540
1268935b5874
1333766c0492
1419769a64d2
15d841d887a
hex816280d98

34731462040 has 128 divisors (see below), whose sum is σ = 86780160000. Its totient is φ = 12404620800.

The previous prime is 34731462011. The next prime is 34731462047. The reversal of 34731462040 is 4026413743.

It is a junction number, because it is equal to n+sod(n) for n = 34731461987 and 34731462005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34731462047) 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, 6914730 + ... + 6919750.

It is an arithmetic number, because the mean of its divisors is an integer number (677970000).

Almost surely, 234731462040 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 34731462040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43390080000).

34731462040 is an abundant number, since it is smaller than the sum of its proper divisors (52048697960).

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

34731462040 is a wasteful number, since it uses less digits than its factorization.

34731462040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

Adding to 34731462040 its reverse (4026413743), we get a palindrome (38757875783).

The spelling of 34731462040 in words is "thirty-four billion, seven hundred thirty-one million, four hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 199 220 316 395 398 440 632 790 796 869 995 1580 1592 1738 1990 2189 3160 3476 3980 4345 4378 5021 6952 7960 8690 8756 10042 10945 15721 17380 17512 20084 21890 25105 31442 34760 40168 43780 50210 55231 62884 78605 87560 100420 110462 125768 157210 172931 200840 220924 276155 314420 345862 396659 441848 552310 628840 691724 793318 864655 999179 1104620 1383448 1586636 1729310 1983295 1998358 2209240 3173272 3458620 3966590 3996716 4363249 4995895 6917240 7933180 7993432 8726498 9991790 10990969 15866360 17452996 19983580 21816245 21981938 34905992 39967160 43632490 43963876 54954845 78935141 87264980 87927752 109909690 157870282 174529960 219819380 315740564 394675705 439638760 631481128 789351410 868286551 1578702820 1736573102 3157405640 3473146204 4341432755 6946292408 8682865510 17365731020 34731462040