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34481340608 = 26111314532593
BaseRepresentation
bin100000000111001111…
…111000000011000000
310022000001201121000012
4200013033320003000
51031104210344413
623501314444052
72330323362551
oct400717700300
9108001647005
1034481340608
11136948aa610
126823893628
133336937730
141951698328
15d6c27d7a8
hex8073f80c0

34481340608 has 112 divisors (see below), whose sum is σ = 80472479136. Its totient is φ = 14452162560.

The previous prime is 34481340571. The next prime is 34481340623. The reversal of 34481340608 is 80604318443.

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 15 ways as a sum of consecutive naturals, for example, 13296560 + ... + 13299152.

It is an arithmetic number, because the mean of its divisors is an integer number (718504278).

Almost surely, 234481340608 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 34481340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40236239568).

34481340608 is an abundant number, since it is smaller than the sum of its proper divisors (45991138528).

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

34481340608 is a wasteful number, since it uses less digits than its factorization.

34481340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 34481340608 in words is "thirty-four billion, four hundred eighty-one million, three hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 1453 2288 2593 2906 4576 5186 5812 9152 10372 11624 15983 18889 20744 23248 28523 31966 33709 37778 41488 46496 57046 63932 67418 75556 82976 92992 114092 127864 134836 151112 165952 207779 228184 255728 269672 302224 370799 415558 456368 511456 539344 604448 741598 831116 912736 1022912 1078688 1208896 1483196 1662232 1825472 2157376 2966392 3324464 3767629 5932784 6648928 7535258 11865568 13297856 15070516 23731136 30141032 41443919 48979177 60282064 82887838 97958354 120564128 165775676 195916708 241128256 331551352 391833416 538770947 663102704 783666832 1077541894 1326205408 1567333664 2155083788 2652410816 3134667328 4310167576 8620335152 17240670304 34481340608