Search a number
-
+
673735940 = 22588138237
BaseRepresentation
bin101000001010000…
…110010100000100
31201221202022221222
4220022012110010
52334434022230
6150504255512
722460442503
oct5012062404
91657668858
10673735940
11316340869
12169771598
13a9774a27
146569c83a
153e2356e5
hex28286504

673735940 has 24 divisors (see below), whose sum is σ = 1416488472. Its totient is φ = 269181440.

The previous prime is 673735921. The next prime is 673736003. The reversal of 673735940 is 49537376.

It can be written as a sum of positive squares in 4 ways, for example, as 14992384 + 658743556 = 3872^2 + 25666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 673735891 and 673735900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1499 + ... + 36738.

It is an arithmetic number, because the mean of its divisors is an integer number (59020353).

Almost surely, 2673735940 is an apocalyptic number.

It is an amenable number.

673735940 is an abundant number, since it is smaller than the sum of its proper divisors (742752532).

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

673735940 is a wasteful number, since it uses less digits than its factorization.

673735940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39127 (or 39125 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 44.

The square root of 673735940 is about 25956.4238677057. The cubic root of 673735940 is about 876.6574039094.

The spelling of 673735940 in words is "six hundred seventy-three million, seven hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 881 1762 3524 4405 8810 17620 38237 76474 152948 191185 382370 764740 33686797 67373594 134747188 168433985 336867970 673735940