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34412363360 = 2554317927943
BaseRepresentation
bin100000000011001000…
…101111111001100000
310021211020221012000022
4200003020233321200
51030434031111420
623450412213012
72325525155654
oct400310577140
9107736835008
1034412363360
1113659977a21
12680476a168
1333255665ab
141946460a64
15d661a5c25
hex80322fe60

34412363360 has 96 divisors (see below), whose sum is σ = 83657629440. Its totient is φ = 13369241088.

The previous prime is 34412363333. The next prime is 34412363371. The reversal of 34412363360 is 6336321443.

It is a self number, because there is not a number n which added to its sum of digits gives 34412363360.

It is a congruent number.

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, 1217549 + ... + 1245491.

It is an arithmetic number, because the mean of its divisors is an integer number (871433640).

Almost surely, 234412363360 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 34412363360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41828814720).

34412363360 is an abundant number, since it is smaller than the sum of its proper divisors (49245266080).

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

34412363360 is a wasteful number, since it uses less digits than its factorization.

34412363360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28180 (or 28172 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

The spelling of 34412363360 in words is "thirty-four billion, four hundred twelve million, three hundred sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 179 215 344 358 430 688 716 860 895 1376 1432 1720 1790 2864 3440 3580 5728 6880 7160 7697 14320 15394 27943 28640 30788 38485 55886 61576 76970 111772 123152 139715 153940 223544 246304 279430 307880 447088 558860 615760 894176 1117720 1201549 1231520 2235440 2403098 4470880 4806196 5001797 6007745 9612392 10003594 12015490 19224784 20007188 24030980 25008985 38449568 40014376 48061960 50017970 80028752 96123920 100035940 160057504 192247840 200071880 215077271 400143760 430154542 800287520 860309084 1075386355 1720618168 2150772710 3441236336 4301545420 6882472672 8603090840 17206181680 34412363360