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34323131040 = 2535112590963
BaseRepresentation
bin11111111101110100…
…010110101010100000
310021121001000201021120
4133331310112222200
51030243210143130
623433503452240
72323362541302
oct377564265240
9107531021246
1034323131040
1113613570400
12679a8b7080
13330cc22bc3
141938673972
15d5d42b910
hex7fdd16aa0

34323131040 has 144 divisors (see below), whose sum is σ = 118840496544. Its totient is φ = 8320744960.

The previous prime is 34323130991. The next prime is 34323131041. The reversal of 34323131040 is 4013132343.

It is a super-2 number, since 2×343231310402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34323131040.

It is not an unprimeable number, because it can be changed into a prime (34323131041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237402 + ... + 353561.

It is an arithmetic number, because the mean of its divisors is an integer number (825281226).

Almost surely, 234323131040 is an apocalyptic number.

34323131040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34323131040 is an abundant number, since it is smaller than the sum of its proper divisors (84517365504).

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

34323131040 is a wasteful number, since it uses less digits than its factorization.

34323131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591003 (or 590984 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34323131040 its reverse (4013132343), we get a palindrome (38336263383).

The spelling of 34323131040 in words is "thirty-four billion, three hundred twenty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 590963 1181926 1772889 2363852 2954815 3545778 4727704 5909630 6500593 7091556 8864445 9455408 11819260 13001186 14183112 17728890 18910816 19501779 23638520 26002372 28366224 32502965 35457780 39003558 47277040 52004744 56732448 65005930 70915560 71506523 78007116 94554080 97508895 104009488 130011860 141831120 143013046 156014232 195017790 208018976 214519569 260023720 283662240 286026092 312028464 357532615 390035580 429039138 520047440 572052184 624056928 715065230 780071160 858078276 1040094880 1072597845 1144104368 1430130460 1560142320 1716156552 2145195690 2288208736 2860260920 3120284640 3432313104 4290391380 5720521840 6864626208 8580782760 11441043680 17161565520 34323131040