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388944444 = 223723375441
BaseRepresentation
bin10111001011101…
…101001000111100
31000002212102110210
4113023231020330
51244032210234
6102332232420
712431654550
oct2713551074
91002772423
10388944444
1118a604799
12aa30b710
1362770455
1439927860
152422cbe9
hex172ed23c

388944444 has 96 divisors (see below), whose sum is σ = 1111735296. Its totient is φ = 103403520.

The previous prime is 388944443. The next prime is 388944469. The reversal of 388944444 is 444449883.

It is a junction number, because it is equal to n+sod(n) for n = 388944393 and 388944402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388944443) 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, 68764 + ... + 74204.

It is an arithmetic number, because the mean of its divisors is an integer number (11580576).

Almost surely, 2388944444 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 388944444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555867648).

388944444 is an abundant number, since it is smaller than the sum of its proper divisors (722790852).

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

388944444 is a wasteful number, since it uses less digits than its factorization.

388944444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5513 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 388944444 is about 19721.6744725188. The cubic root of 388944444 is about 729.9546128033.

The spelling of 388944444 in words is "three hundred eighty-eight million, nine hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 37 42 46 69 74 84 92 111 138 148 161 222 259 276 322 444 483 518 644 777 851 966 1036 1554 1702 1932 2553 3108 3404 5106 5441 5957 10212 10882 11914 16323 17871 21764 23828 32646 35742 38087 65292 71484 76174 114261 125143 152348 201317 228522 250286 375429 402634 457044 500572 603951 750858 805268 876001 1207902 1409219 1501716 1752002 2415804 2628003 2818438 3504004 4227657 4630291 5256006 5636876 8455314 9260582 10512012 13890873 16910628 18521164 27781746 32412037 55563492 64824074 97236111 129648148 194472222 388944444