Search a number
-
+
1674630672 = 2431113243973
BaseRepresentation
bin110001111010000…
…1101011000010000
311022201010001102020
41203310031120100
511412201140142
6434101051440
756333061111
oct14364153020
94281101366
101674630672
1178a3158a0
123a89b6b80
13208c36230
1411c5a0208
159c041cec
hex63d0d610

1674630672 has 80 divisors (see below), whose sum is σ = 5082466368. Its totient is φ = 468426240.

The previous prime is 1674630653. The next prime is 1674630673. The reversal of 1674630672 is 2760364761.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1674630673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 115123 + ... + 128850.

Almost surely, 21674630672 is an apocalyptic number.

1674630672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1674630672 is an abundant number, since it is smaller than the sum of its proper divisors (3407835696).

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

1674630672 is a wasteful number, since it uses less digits than its factorization.

1674630672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244008 (or 244002 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 1674630672 is about 40922.2515509594. The cubic root of 1674630672 is about 1187.5165759755.

The spelling of 1674630672 in words is "one billion, six hundred seventy-four million, six hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 243973 487946 731919 975892 1463838 1951784 2683703 2927676 3171649 3903568 5367406 5855352 6343298 8051109 9514947 10734812 11710704 12686596 16102218 19029894 21469624 25373192 32204436 34888139 38059788 42939248 50746384 64408872 69776278 76119576 104664417 128817744 139552556 152239152 209328834 279105112 418657668 558210224 837315336 1674630672