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34012822480 = 24571315130941
BaseRepresentation
bin11111101011010100…
…100111101111010000
310020210102010101221221
4133223110213233100
51024124240304410
623343020454424
72312604135520
oct375324475720
9106712111857
1034012822480
1113474395a4a
1267129aa414
133290855c80
141909379680
15d410834da
hex7eb527bd0

34012822480 has 160 divisors (see below), whose sum is σ = 97976729088. Its totient is φ = 10692864000.

The previous prime is 34012822429. The next prime is 34012822483. The reversal of 34012822480 is 8422821043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012822483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083810 + ... + 1114750.

Almost surely, 234012822480 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 34012822480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988364544).

34012822480 is an abundant number, since it is smaller than the sum of its proper divisors (63963906608).

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

34012822480 is a wasteful number, since it uses less digits than its factorization.

34012822480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31125 (or 31119 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 34012822480 in words is "thirty-four billion, twelve million, eight hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 151 182 208 260 280 302 364 455 520 560 604 728 755 910 1040 1057 1208 1456 1510 1820 1963 2114 2416 3020 3640 3926 4228 5285 6040 7280 7852 8456 9815 10570 12080 13741 15704 16912 19630 21140 27482 30941 31408 39260 42280 54964 61882 68705 78520 84560 109928 123764 137410 154705 157040 216587 219856 247528 274820 309410 402233 433174 495056 549640 618820 804466 866348 1082935 1099280 1237640 1608932 1732696 2011165 2165870 2475280 2815631 3217864 3465392 4022330 4331740 4672091 5631262 6435728 8044660 8663480 9344182 11262524 14078155 16089320 17326960 18688364 22525048 23360455 28156310 32178640 32704637 37376728 45050096 46720910 56312620 60737183 65409274 74753456 93441820 112625240 121474366 130818548 163523185 186883640 225250480 242948732 261637096 303685915 327046370 373767280 425160281 485897464 523274192 607371830 654092740 850320562 971794928 1214743660 1308185480 1700641124 2125801405 2429487320 2616370960 3401282248 4251602810 4858974640 6802564496 8503205620 17006411240 34012822480