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244380348 = 223373139223
BaseRepresentation
bin11101001000011…
…11001010111100
3122000211210211000
432210033022330
51000030132343
640125530300
76025125102
oct1644171274
9560753730
10244380348
11115a45633
1269a13990
133b825874
1424655c72
15166c3ed3
hexe90f2bc

244380348 has 96 divisors (see below), whose sum is σ = 649779200. Its totient is φ = 79408512.

The previous prime is 244380343. The next prime is 244380371. The reversal of 244380348 is 843083442.

244380348 is a `hidden beast` number, since 244 + 380 + 34 + 8 = 666.

It is a super-2 number, since 2×2443803482 = 119443508977202208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244380343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095765 + ... + 1095987.

Almost surely, 2244380348 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 244380348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324889600).

244380348 is an abundant number, since it is smaller than the sum of its proper divisors (405398852).

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

244380348 is a wasteful number, since it uses less digits than its factorization.

244380348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 244380348 is about 15632.6692538415. The cubic root of 244380348 is about 625.2044967091.

The spelling of 244380348 in words is "two hundred forty-four million, three hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 139 146 219 223 278 292 417 438 446 556 657 669 834 876 892 1251 1314 1338 1668 1971 2007 2502 2628 2676 3753 3942 4014 5004 6021 7506 7884 8028 10147 12042 15012 16279 20294 24084 30441 30997 32558 40588 48837 60882 61994 65116 91323 92991 97674 121764 123988 146511 182646 185982 195348 273969 278973 293022 365292 371964 439533 547938 557946 586044 836919 879066 1095876 1115892 1673838 1758132 2262781 3347676 4525562 6788343 9051124 13576686 20365029 27153372 40730058 61095087 81460116 122190174 244380348