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34444344 = 23311229409
BaseRepresentation
bin1000001101100…
…1010000111000
32101210221202110
42003121100320
532304204334
63230132320
7565525554
oct203312070
971727673
1034444344
1118496600
12b6510a0
13719cb8c
144808864
153055ae9
hex20d9438

34444344 has 96 divisors (see below), whose sum is σ = 98154000. Its totient is φ = 10053120.

The previous prime is 34444343. The next prime is 34444349. The reversal of 34444344 is 44344443.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84012 + ... + 84420.

Almost surely, 234444344 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 34444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49077000).

34444344 is an abundant number, since it is smaller than the sum of its proper divisors (63709656).

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

34444344 is a wasteful number, since it uses less digits than its factorization.

34444344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 34444344 is about 5868.9303965885. The cubic root of 34444344 is about 325.3663529521.

Adding to 34444344 its reverse (44344443), we get a palindrome (78788787).

Subtracting 34444344 from its reverse (44344443), we obtain a palindrome (9900099).

The spelling of 34444344 in words is "thirty-four million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 121 132 174 232 242 264 319 348 363 409 484 638 696 726 818 957 968 1227 1276 1452 1636 1914 2454 2552 2904 3272 3509 3828 4499 4908 7018 7656 8998 9816 10527 11861 13497 14036 17996 21054 23722 26994 28072 35583 35992 42108 47444 49489 53988 71166 84216 94888 98978 107976 130471 142332 148467 197956 260942 284664 296934 391413 395912 521884 593868 782826 1043768 1187736 1435181 1565652 2870362 3131304 4305543 5740724 8611086 11481448 17222172 34444344