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34404112240 = 245618118693
BaseRepresentation
bin100000000010101001…
…010001011101110000
310021210200101222121021
4200002221101131300
51030424423042430
623445515305224
72325365062141
oct400251213560
9107720358537
1034404112240
1113655251813
126801a4b214
133323937a84
141945313ac8
15d655c607a
hex802a51770

34404112240 has 80 divisors (see below), whose sum is σ = 81410476896. Its totient is φ = 13517798400.

The previous prime is 34404112217. The next prime is 34404112297. The reversal of 34404112240 is 4221140443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3953334 + ... + 3962026.

Almost surely, 234404112240 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 34404112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40705238448).

34404112240 is an abundant number, since it is smaller than the sum of its proper divisors (47006364656).

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

34404112240 is a wasteful number, since it uses less digits than its factorization.

34404112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 34404112240 its reverse (4221140443), we get a palindrome (38625252683).

The spelling of 34404112240 in words is "thirty-four billion, four hundred four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 811 976 1220 1622 2440 3244 4055 4880 6488 8110 8693 12976 16220 17386 32440 34772 43465 49471 64880 69544 86930 98942 139088 173860 197884 247355 347720 395768 494710 530273 695440 791536 989420 1060546 1978840 2121092 2651365 3957680 4242184 5302730 7050023 8484368 10605460 14100046 21210920 28200092 35250115 42421840 56400184 70500230 112800368 141000460 282000920 430051403 564001840 860102806 1720205612 2150257015 3440411224 4300514030 6880822448 8601028060 17202056120 34404112240