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34240111000 = 2353471017213
BaseRepresentation
bin11111111000110111…
…101010000110011000
310021101020210212012021
4133320313222012120
51030110432023000
623421340224224
72321334066334
oct377067520630
9107336725167
1034240111000
11135807171a7
126776b3b074
1332c8976014
14192b6227c4
15d55ecd11a
hex7f8dea198

34240111000 has 128 divisors (see below), whose sum is σ = 82648200960. Its totient is φ = 13270080000.

The previous prime is 34240110997. The next prime is 34240111001. The reversal of 34240111000 is 11104243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240111001) 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, 4743394 + ... + 4750606.

It is an arithmetic number, because the mean of its divisors is an integer number (645689070).

Almost surely, 234240111000 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 34240111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41324100480).

34240111000 is an abundant number, since it is smaller than the sum of its proper divisors (48408089960).

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

34240111000 is a wasteful number, since it uses less digits than its factorization.

34240111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 34240111000 its reverse (11104243), we get a palindrome (34251215243).

The spelling of 34240111000 in words is "thirty-four billion, two hundred forty million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 101 125 188 200 202 235 250 376 404 470 500 505 808 940 1000 1010 1175 1880 2020 2350 2525 4040 4700 4747 5050 5875 7213 9400 9494 10100 11750 12625 14426 18988 20200 23500 23735 25250 28852 36065 37976 47000 47470 50500 57704 72130 94940 101000 118675 144260 180325 189880 237350 288520 339011 360650 474700 593375 678022 721300 728513 901625 949400 1186750 1356044 1442600 1457026 1695055 1803250 2373500 2712088 2914052 3390110 3606500 3642565 4747000 5828104 6780220 7213000 7285130 8475275 13560440 14570260 16950550 18212825 29140520 33901100 34240111 36425650 42376375 67802200 68480222 72851300 84752750 91064125 136960444 145702600 169505500 171200555 182128250 273920888 339011000 342401110 364256500 684802220 728513000 856002775 1369604440 1712005550 3424011100 4280013875 6848022200 8560027750 17120055500 34240111000