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346085226848 = 2523911516163
BaseRepresentation
bin1010000100101000100…
…10010111100101100000
31020002022021102010011202
411002110102113211200
521132240304224343
6422553411300332
734001212614314
oct5022422274540
91202267363152
10346085226848
111238570a7339
12570a72aa6a8
132683581a3ca
1412a71985b44
159008515db8
hex5094497960

346085226848 has 48 divisors (see below), whose sum is σ = 711761250816. Its totient is φ = 165337011840.

The previous prime is 346085226847. The next prime is 346085226853. The reversal of 346085226848 is 848622580643.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 346085226793 and 346085226802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346085226847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412415 + ... + 928577.

It is an arithmetic number, because the mean of its divisors is an integer number (14828359392).

Almost surely, 2346085226848 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 346085226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355880625408).

346085226848 is an abundant number, since it is smaller than the sum of its proper divisors (365676023968).

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

346085226848 is a wasteful number, since it uses less digits than its factorization.

346085226848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517107 (or 517099 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 56.

The spelling of 346085226848 in words is "three hundred forty-six billion, eighty-five million, two hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 911 1822 3644 7288 14576 20953 29152 41906 83812 167624 335248 516163 670496 1032326 2064652 4129304 8258608 11871749 16517216 23743498 47486996 94973992 189947984 379895968 470224493 940448986 1880897972 3761795944 7523591888 10815163339 15047183776 21630326678 43260653356 86521306712 173042613424 346085226848