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34047371336 = 23117942111633
BaseRepresentation
bin11111101101011000…
…011010100001001000
310020212211010200002012
4133231120122201020
51024212111340321
623350253155052
72313503611166
oct375530324110
9106784120065
1034047371336
1113491943020
12672248ba88
133297a61594
14190dbb0236
15d4410a05b
hex7ed61a848

34047371336 has 64 divisors (see below), whose sum is σ = 70697491200. Its totient is φ = 15242572800.

The previous prime is 34047371321. The next prime is 34047371357. The reversal of 34047371336 is 63317374043.

It is a happy number.

It is a super-4 number, since 4×340473713364 (a number of 43 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34047371293 and 34047371302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2920976 + ... + 2932608.

It is an arithmetic number, because the mean of its divisors is an integer number (1104648300).

Almost surely, 234047371336 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 34047371336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35348745600).

34047371336 is an abundant number, since it is smaller than the sum of its proper divisors (36650119864).

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

34047371336 is a wasteful number, since it uses less digits than its factorization.

34047371336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 41.

The spelling of 34047371336 in words is "thirty-four billion, forty-seven million, three hundred seventy-one thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 421 632 842 869 1684 1738 3368 3476 4631 6952 9262 11633 18524 23266 33259 37048 46532 66518 93064 127963 133036 255926 266072 365849 511852 731698 919007 1023704 1463396 1838014 2926792 3676028 4897493 7352056 9794986 10109077 19589972 20218154 39179944 40436308 53872423 80872616 107744846 215489692 386901947 430979384 773803894 1547607788 3095215576 4255921417 8511842834 17023685668 34047371336