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34001021440 = 29523577463
BaseRepresentation
bin11111101010100111…
…100110101000000000
310020202120220211222101
4133222213212220000
51024113230141230
623341515520144
72312401625251
oct375247465000
9106676824871
1034001021440
1113468765721
12670aa59054
13328b2836c9
141907986b28
15d40001aca
hex7ea9e6a00

34001021440 has 80 divisors (see below), whose sum is σ = 85067376768. Its totient is φ = 13009063936.

The previous prime is 34001021401. The next prime is 34001021443. The reversal of 34001021440 is 4412010043.

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

It is not an unprimeable number, because it can be changed into a prime (34001021443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229852 + ... + 347611.

Almost surely, 234001021440 is an apocalyptic number.

It is an amenable number.

34001021440 is an abundant number, since it is smaller than the sum of its proper divisors (51066355328).

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

34001021440 is an equidigital number, since it uses as much as digits as its factorization.

34001021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577509 (or 577493 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 34001021440 its reverse (4412010043), we get a palindrome (38413031483).

The spelling of 34001021440 in words is "thirty-four billion, one million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1280 1472 1840 2560 2944 3680 5888 7360 11776 14720 29440 58880 577463 1154926 2309852 2887315 4619704 5774630 9239408 11549260 13281649 18478816 23098520 26563298 36957632 46197040 53126596 66408245 73915264 92394080 106253192 132816490 147830528 184788160 212506384 265632980 295661056 369576320 425012768 531265960 739152640 850025536 1062531920 1478305280 1700051072 2125063840 3400102144 4250127680 6800204288 8500255360 17000510720 34001021440