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34043532240 = 24351770111903
BaseRepresentation
bin11111101101001001…
…110001001111010000
310020212112220121211110
4133231021301033100
51024210121012430
623350035013320
72313426151404
oct375511611720
9106775817743
1034043532240
111348a760713
12672113a240
133297019023
14190d491104
15d43aec7b0
hex7ed2713d0

34043532240 has 160 divisors (see below), whose sum is σ = 111911694336. Its totient is φ = 8531353600.

The previous prime is 34043532217. The next prime is 34043532247. The reversal of 34043532240 is 4223534043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34043532198 and 34043532207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043532247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2854129 + ... + 2866031.

Almost surely, 234043532240 is an apocalyptic number.

34043532240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34043532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55955847168).

34043532240 is an abundant number, since it is smaller than the sum of its proper divisors (77868162096).

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

34043532240 is a wasteful number, since it uses less digits than its factorization.

34043532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637 (or 12631 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The spelling of 34043532240 in words is "thirty-four billion, forty-three million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 701 816 1020 1360 1402 2040 2103 2804 3505 4080 4206 5608 7010 8412 10515 11216 11903 11917 14020 16824 21030 23806 23834 28040 33648 35709 35751 42060 47612 47668 56080 59515 59585 71418 71502 84120 95224 95336 119030 119170 142836 143004 168240 178545 178755 190448 190672 202351 238060 238340 285672 286008 357090 357510 404702 476120 476680 571344 572016 607053 714180 715020 809404 952240 953360 1011755 1214106 1428360 1430040 1618808 2023510 2428212 2856720 2860080 3035265 3237616 4047020 4856424 6070530 8094040 8344003 9712848 12141060 16188080 16688006 24282120 25032009 33376012 41720015 48564240 50064018 66752024 83440030 100128036 125160045 133504048 141848051 166880060 200256072 250320090 283696102 333760120 400512144 425544153 500640180 567392204 667520240 709240255 851088306 1001280360 1134784408 1418480510 1702176612 2002560720 2127720765 2269568816 2836961020 3404353224 4255441530 5673922040 6808706448 8510883060 11347844080 17021766120 34043532240