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3431010044 = 22711191733389
BaseRepresentation
bin1100110010000001…
…0000111011111100
322212010001100222002
43030200100323330
524011314310134
61324242241432
7151011050510
oct31440207374
98763040862
103431010044
1115007966a0
127b9056278
13428a92777
14247960140
1515133087e
hexcc810efc

3431010044 has 96 divisors (see below), whose sum is σ = 7927718400. Its totient is φ = 1258709760.

The previous prime is 3431010043. The next prime is 3431010049. The reversal of 3431010044 is 4400101343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3431009998 and 3431010025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431010041) 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, 1010702 + ... + 1014090.

It is an arithmetic number, because the mean of its divisors is an integer number (82580400).

Almost surely, 23431010044 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 3431010044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963859200).

3431010044 is an abundant number, since it is smaller than the sum of its proper divisors (4496708356).

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

3431010044 is a wasteful number, since it uses less digits than its factorization.

3431010044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3431010044 is about 58574.8243189854. The cubic root of 3431010044 is about 1508.2523007276.

Adding to 3431010044 its reverse (4400101343), we get a palindrome (7831111387).

The spelling of 3431010044 in words is "three billion, four hundred thirty-one million, ten thousand, forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 173 209 266 308 346 418 532 692 836 1211 1463 1903 2422 2926 3287 3389 3806 4844 5852 6574 6778 7612 13148 13321 13556 23009 23723 26642 36157 37279 46018 47446 53284 64391 72314 74558 92036 94892 128782 144628 149116 253099 257564 260953 450737 506198 521906 586297 708301 901474 1012396 1043812 1172594 1416602 1802948 2345188 2833204 4104079 4958107 6449267 8208158 9916214 11139643 12898534 16416316 19832428 22279286 25797068 44558572 45144869 77977501 90289738 122536073 155955002 180579476 245072146 311910004 490144292 857752511 1715505022 3431010044