Search a number
-
+
672808734 = 233131973691
BaseRepresentation
bin101000000110100…
…011111100011110
31201220000020002000
4220012203330132
52334214334414
6150432343130
722446531333
oct5006437436
91656006060
10672808734
11315868184
121693a4aa6
13a950b9a0
14654da98a
153e100b09
hex281a3f1e

672808734 has 128 divisors (see below), whose sum is σ = 1720588800. Its totient is φ = 193155840.

The previous prime is 672808727. The next prime is 672808739. The reversal of 672808734 is 437808276.

It is a happy number.

672808734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 672808734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672808739) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973329 + ... + 974019.

It is an arithmetic number, because the mean of its divisors is an integer number (13442100).

Almost surely, 2672808734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672808734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860294400).

672808734 is an abundant number, since it is smaller than the sum of its proper divisors (1047780066).

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

672808734 is a wasteful number, since it uses less digits than its factorization.

672808734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 672808734 is about 25938.5568989487. The cubic root of 672808734 is about 876.2550627131.

The spelling of 672808734 in words is "six hundred seventy-two million, eight hundred eight thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 73 78 114 117 146 171 219 234 247 342 351 438 494 513 657 691 702 741 949 1026 1314 1382 1387 1482 1898 1971 2073 2223 2774 2847 3942 4146 4161 4446 5694 6219 6669 8322 8541 8983 12438 12483 13129 13338 17082 17966 18031 18657 24966 25623 26258 26949 36062 37314 37449 39387 50443 51246 53898 54093 74898 78774 80847 100886 108186 118161 151329 161694 162279 170677 236322 242541 302658 324558 341354 354483 453987 485082 486837 512031 655759 708966 907974 958417 973674 1024062 1311518 1361961 1536093 1916834 1967277 2723922 2875251 3072186 3934554 4608279 5750502 5901831 8625753 9216558 11803662 12459421 17251506 17705493 24918842 25877259 35410986 37378263 51754518 74756526 112134789 224269578 336404367 672808734