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3434500440 = 233457151433
BaseRepresentation
bin1100110010110110…
…0101000101011000
322212100121200220000
43030231211011120
524013213003230
61324445133000
7151052525550
oct31455450530
98770550800
103434500440
111502760018
127ba25a160
134297153a7
142481cc160
151517beb60
hexccb65158

3434500440 has 160 divisors (see below), whose sum is σ = 13192930080. Its totient is φ = 785023488.

The previous prime is 3434500403. The next prime is 3434500441. The reversal of 3434500440 is 440054343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434500441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53037 + ... + 98396.

It is an arithmetic number, because the mean of its divisors is an integer number (82455813).

Almost surely, 23434500440 is an apocalyptic number.

3434500440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434500440 is an abundant number, since it is smaller than the sum of its proper divisors (9758429640).

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

3434500440 is a wasteful number, since it uses less digits than its factorization.

3434500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151463 (or 151450 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3434500440 is about 58604.6110813816. The cubic root of 3434500440 is about 1508.7635800658.

Adding to 3434500440 its reverse (440054343), we get a palindrome (3874554783).

The spelling of 3434500440 in words is "three billion, four hundred thirty-four million, five hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 151433 302866 454299 605732 757165 908598 1060031 1211464 1362897 1514330 1817196 2120062 2271495 2725794 3028660 3180093 3634392 4088691 4240124 4542990 5300155 5451588 6057320 6360186 6814485 8177382 8480248 9085980 9540279 10600310 10903176 12266073 12720372 13628970 15900465 16354764 18171960 19080558 20443455 21200620 24532146 25440744 27257940 28620837 31800930 32709528 38161116 40886910 42401240 47701395 49064292 54515880 57241674 61330365 63601860 76322232 81773820 85862511 95402790 98128584 114483348 122660730 127203720 143104185 163547640 171725022 190805580 228966696 245321460 286208370 343450044 381611160 429312555 490642920 572416740 686900088 858625110 1144833480 1717250220 3434500440