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673343376 = 24353614339
BaseRepresentation
bin101000001000100…
…110011110010000
31201221000101110120
4220020212132100
52334333442001
6150452030240
722454216136
oct5010463620
91657011416
10673343376
113160a2932
12169602380
13a9668144
14655d9756
153e1a9236
hex28226790

673343376 has 80 divisors (see below), whose sum is σ = 1801759680. Its totient is φ = 216552960.

The previous prime is 673343351. The next prime is 673343381.

673343376 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153015 + ... + 157353.

It is an arithmetic number, because the mean of its divisors is an integer number (22521996).

Almost surely, 2673343376 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 673343376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900879840).

673343376 is an abundant number, since it is smaller than the sum of its proper divisors (1128416304).

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

673343376 is a wasteful number, since it uses less digits than its factorization.

673343376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4458 counting only the distinct ones).

The product of its digits is 571536, while the sum is 42.

The square root of 673343376 is about 25948.8607842425. The cubic root of 673343376 is about 876.4871042520.

The spelling of 673343376 in words is "six hundred seventy-three million, three hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 61 106 122 159 183 212 244 318 366 424 488 636 732 848 976 1272 1464 2544 2928 3233 4339 6466 8678 9699 12932 13017 17356 19398 25864 26034 34712 38796 51728 52068 69424 77592 104136 155184 208272 229967 264679 459934 529358 689901 794037 919868 1058716 1379802 1588074 1839736 2117432 2759604 3176148 3679472 4234864 5519208 6352296 11038416 12704592 14027987 28055974 42083961 56111948 84167922 112223896 168335844 224447792 336671688 673343376