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34024818840 = 2335941930103
BaseRepresentation
bin11111101100000010…
…011000100010011000
310020211020200212212120
4133230002120202120
51024140323200330
623344125541240
72313111121365
oct375402304230
9106736625776
1034024818840
1113480139aa1
126716a14820
1332931963cc
14190abbd46c
15d42152c10
hex7ec098898

34024818840 has 64 divisors (see below), whose sum is σ = 102088684800. Its totient is φ = 9072020352.

The previous prime is 34024818833. The next prime is 34024818847. The reversal of 34024818840 is 4881842043.

It is an interprime number because it is at equal distance from previous prime (34024818833) and next prime (34024818847).

It is a junction number, because it is equal to n+sod(n) for n = 34024818792 and 34024818801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024818847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115229 + ... + 1145331.

It is an arithmetic number, because the mean of its divisors is an integer number (1595135700).

Almost surely, 234024818840 is an apocalyptic number.

34024818840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34024818840 is an abundant number, since it is smaller than the sum of its proper divisors (68063865960).

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

34024818840 is a wasteful number, since it uses less digits than its factorization.

34024818840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39536 (or 39532 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 34024818840 in words is "thirty-four billion, twenty-four million, eight hundred eighteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9419 18838 28257 30103 37676 47095 56514 60206 75352 90309 94190 113028 120412 141285 150515 180618 188380 226056 240824 282570 301030 361236 376760 451545 565140 602060 722472 903090 1130280 1204120 1806180 3612360 283540157 567080314 850620471 1134160628 1417700785 1701240942 2268321256 2835401570 3402481884 4253102355 5670803140 6804963768 8506204710 11341606280 17012409420 34024818840