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1673972352 = 273313193753
BaseRepresentation
bin110001111000110…
…1100101010000000
311022122212121101000
41203301230222000
511412014103402
6434035012000
756324346603
oct14361545200
94278777330
101673972352
11789a06228
123a873a000
13208a656b0
1411c46c33a
159be61c1c
hex63c6ca80

1673972352 has 512 divisors, whose sum is σ = 5860512000. Its totient is φ = 465813504.

The previous prime is 1673972341. The next prime is 1673972387. The reversal of 1673972352 is 2532793761.

It is a junction number, because it is equal to n+sod(n) for n = 1673972298 and 1673972307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31584358 + ... + 31584410.

Almost surely, 21673972352 is an apocalyptic number.

1673972352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1673972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

1673972352 is an abundant number, since it is smaller than the sum of its proper divisors (4186539648).

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

1673972352 is a wasteful number, since it uses less digits than its factorization.

1673972352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 1673972352 is about 40914.2072146095. The cubic root of 1673972352 is about 1187.3609459633.

The spelling of 1673972352 in words is "one billion, six hundred seventy-three million, nine hundred seventy-two thousand, three hundred fifty-two".