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444037374 = 2321110720959
BaseRepresentation
bin11010011101110…
…111100011111110
31010221112102202200
4122131313203332
51402133143444
6112021132330
714001153414
oct3235674376
91127472680
10444037374
11208713940
1210485a0a6
1370cbca11
1442d892b4
1528eb1969
hex1a7778fe

444037374 has 48 divisors (see below), whose sum is σ = 1059402240. Its totient is φ = 133292880.

The previous prime is 444037367. The next prime is 444037381. The reversal of 444037374 is 473730444.

It is an interprime number because it is at equal distance from previous prime (444037367) and next prime (444037381).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10707 + ... + 31665.

It is an arithmetic number, because the mean of its divisors is an integer number (22070880).

Almost surely, 2444037374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444037374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529701120).

444037374 is an abundant number, since it is smaller than the sum of its proper divisors (615364866).

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

444037374 is a wasteful number, since it uses less digits than its factorization.

444037374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21085 (or 21082 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 444037374 is about 21072.1943328169. The cubic root of 444037374 is about 762.9097675325.

It can be divided in two parts, 4440 and 37374, that added together give a palindrome (41814).

The spelling of 444037374 in words is "four hundred forty-four million, thirty-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 3531 7062 10593 20959 21186 41918 62877 125754 188631 230549 377262 461098 691647 1383294 2074941 2242613 4149882 4485226 6727839 13455678 20183517 24668743 40367034 49337486 74006229 148012458 222018687 444037374