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34681463344 = 24112199712
BaseRepresentation
bin100000010011001011…
…010010001000110000
310022112000021212210101
4200103023102020300
51032011423311334
623533224042144
72335303401013
oct402313221060
9108460255711
1034681463344
1113787866800
12687a903354
133369235858
1419700ad37a
15d7eb0e214
hex8132d2230

34681463344 has 90 divisors (see below), whose sum is σ = 77826819980. Its totient is φ = 14919220800.

The previous prime is 34681463329. The next prime is 34681463357. The reversal of 34681463344 is 44336418643.

It is a junction number, because it is equal to n+sod(n) for n = 34681463294 and 34681463303.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35716779 + ... + 35717749.

Almost surely, 234681463344 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 34681463344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38913409990).

34681463344 is an abundant number, since it is smaller than the sum of its proper divisors (43145356636).

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

34681463344 is an equidigital number, since it uses as much as digits as its factorization.

34681463344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1003 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 46.

The spelling of 34681463344 in words is "thirty-four billion, six hundred eighty-one million, four hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 971 1672 1936 1942 2299 3344 3884 4598 7768 9196 10681 15536 18392 18449 21362 36784 36898 42724 73796 85448 117491 147592 170896 202939 234982 295184 405878 469964 811756 939928 942841 1623512 1879856 1885682 2232329 3247024 3771364 4464658 7542728 8929316 10371251 15085456 17858632 17913979 20742502 35717264 35827958 41485004 71655916 82970008 114083761 143311832 165940016 197053769 228167522 286623664 394107538 456335044 788215076 912670088 1576430152 1825340176 2167591459 3152860304 4335182918 8670365836 17340731672 34681463344