Search a number
-
+
746381244 = 223747971949
BaseRepresentation
bin101100011111001…
…101111110111100
31221000110002120210
4230133031332330
53012033144434
6202021312420
724332064420
oct5437157674
91830402523
10746381244
11353349304
12189b65710
13bb82b60b
14711acb80
15457d4ee9
hex2c7cdfbc

746381244 has 96 divisors (see below), whose sum is σ = 2054707200. Its totient is φ = 206456832.

The previous prime is 746381239. The next prime is 746381263. The reversal of 746381244 is 442183647.

It is a super-2 number, since 2×7463812442 = 1114169922789975072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381982 + ... + 383930.

It is an arithmetic number, because the mean of its divisors is an integer number (21403200).

Almost surely, 2746381244 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 746381244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027353600).

746381244 is an abundant number, since it is smaller than the sum of its proper divisors (1308325956).

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

746381244 is a wasteful number, since it uses less digits than its factorization.

746381244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2105 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 746381244 is about 27319.9788433300. The cubic root of 746381244 is about 907.0966696494.

The spelling of 746381244 in words is "seven hundred forty-six million, three hundred eighty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 97 141 188 194 282 291 329 388 564 582 658 679 987 1164 1316 1358 1949 1974 2037 2716 3898 3948 4074 4559 5847 7796 8148 9118 11694 13643 13677 18236 23388 27286 27354 31913 40929 54572 54708 63826 81858 91603 95739 127652 163716 183206 189053 191478 274809 366412 378106 382956 549618 567159 641221 756212 1099236 1134318 1282442 1323371 1923663 2268636 2564884 2646742 3847326 3970113 5293484 7694652 7940226 8885491 15880452 17770982 26656473 35541964 53312946 62198437 106625892 124396874 186595311 248793748 373190622 746381244