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34422433440 = 2535519713799
BaseRepresentation
bin100000000011101111…
…001010011010100000
310021211221212210120020
4200003233022122200
51030444120332230
623451412113440
72326006566543
oct400357123240
9107757783506
1034422433440
11136646257aa
126808005880
133327681015
14194792285a
15d66ee4810
hex803bca6a0

34422433440 has 96 divisors (see below), whose sum is σ = 108459388800. Its totient is φ = 9176884224.

The previous prime is 34422433337. The next prime is 34422433471. The reversal of 34422433440 is 4433422443.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487661 + ... + 2501459.

It is an arithmetic number, because the mean of its divisors is an integer number (1129785300).

Almost surely, 234422433440 is an apocalyptic number.

34422433440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34422433440 is an abundant number, since it is smaller than the sum of its proper divisors (74036955360).

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

34422433440 is a wasteful number, since it uses less digits than its factorization.

34422433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19014 (or 19006 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 34422433440 its reverse (4433422443), we get a palindrome (38855855883).

The spelling of 34422433440 in words is "thirty-four billion, four hundred twenty-two million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5197 10394 13799 15591 20788 25985 27598 31182 41397 41576 51970 55196 62364 68995 77955 82794 83152 103940 110392 124728 137990 155910 165588 166304 206985 207880 220784 249456 275980 311820 331176 413970 415760 441568 498912 551960 623640 662352 827940 831520 1103920 1247280 1324704 1655880 2207840 2494560 3311760 6623520 71713403 143426806 215140209 286853612 358567015 430280418 573707224 717134030 860560836 1075701045 1147414448 1434268060 1721121672 2151402090 2294828896 2868536120 3442243344 4302804180 5737072240 6884486688 8605608360 11474144480 17211216720 34422433440