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673381104 = 243113313853
BaseRepresentation
bin101000001000101…
…111101011110000
31201221002022012220
4220020233223300
52334341143404
6150452521040
722454434134
oct5010575360
91657068186
10673381104
11316119210
12169620180
13a967c376
14656093c4
153e1b54d9
hex2822faf0

673381104 has 80 divisors (see below), whose sum is σ = 1903937664. Its totient is φ = 203385600.

The previous prime is 673381103. The next prime is 673381117. The reversal of 673381104 is 401183376.

It is a super-2 number, since 2×6733811042 = 906884222448517632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673381103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172842 + ... + 176694.

Almost surely, 2673381104 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 673381104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951968832).

673381104 is an abundant number, since it is smaller than the sum of its proper divisors (1230556560).

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

673381104 is a wasteful number, since it uses less digits than its factorization.

673381104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 673381104 is about 25949.5877423901. The cubic root of 673381104 is about 876.5034740513.

The spelling of 673381104 in words is "six hundred seventy-three million, three hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 331 528 662 993 1324 1986 2648 3641 3853 3972 5296 7282 7706 7944 10923 11559 14564 15412 15888 21846 23118 29128 30824 42383 43692 46236 58256 61648 84766 87384 92472 127149 169532 174768 184944 254298 339064 508596 678128 1017192 1275343 2034384 2550686 3826029 5101372 7652058 10202744 14028773 15304116 20405488 28057546 30608232 42086319 56115092 61216464 84172638 112230184 168345276 224460368 336690552 673381104