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34923414450 = 23521314573889
BaseRepresentation
bin100000100001100110…
…010000001110110010
310100010212120021022110
4200201212100032302
51033010343230300
624013225550150
72344302060561
oct404146201662
9110125507273
1034923414450
11138a13a21a1
126927945356
1333a73ba7a2
141994291bd8
15d95ea3550
hex8219903b2

34923414450 has 96 divisors (see below), whose sum is σ = 87484668480. Its totient is φ = 9219225600.

The previous prime is 34923414439. The next prime is 34923414469. The reversal of 34923414450 is 5441432943.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34923414399 and 34923414408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8978106 + ... + 8981994.

It is an arithmetic number, because the mean of its divisors is an integer number (911298630).

Almost surely, 234923414450 is an apocalyptic number.

34923414450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34923414450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43742334240).

34923414450 is an abundant number, since it is smaller than the sum of its proper divisors (52561254030).

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

34923414450 is a wasteful number, since it uses less digits than its factorization.

34923414450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 34923414450 in words is "thirty-four billion, nine hundred twenty-three million, four hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 262 393 457 655 786 914 1310 1371 1965 2285 2742 3275 3889 3930 4570 6550 6855 7778 9825 11425 11667 13710 19445 19650 22850 23334 34275 38890 58335 59867 68550 97225 116670 119734 179601 194450 291675 299335 359202 509459 583350 598670 898005 1018918 1496675 1528377 1777273 1796010 2547295 2993350 3056754 3554546 4490025 5094590 5331819 7641885 8886365 8980050 10663638 12736475 15283770 17772730 25472950 26659095 38209425 44431825 53318190 76418850 88863650 133295475 232822763 266590950 465645526 698468289 1164113815 1396936578 2328227630 3492341445 5820569075 6984682890 11641138150 17461707225 34923414450