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2031945344 = 271113313581
BaseRepresentation
bin111100100011101…
…0000011010000000
312020121110111222222
41321013100122000
513130134222334
6533343350212
7101232151622
oct17107203200
95217414888
102031945344
11952a86680
124885b2368
13264c80930
14153c12c12
15bd5c2d2e
hex791d0680

2031945344 has 128 divisors (see below), whose sum is σ = 4910492160. Its totient is φ = 824832000.

The previous prime is 2031945343. The next prime is 2031945347. The reversal of 2031945344 is 4435491302.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2031945341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565634 + ... + 569214.

It is an arithmetic number, because the mean of its divisors is an integer number (38363220).

Almost surely, 22031945344 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 2031945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455246080).

2031945344 is an abundant number, since it is smaller than the sum of its proper divisors (2878546816).

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

2031945344 is a wasteful number, since it uses less digits than its factorization.

2031945344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 2031945344 is about 45077.1044322947. The cubic root of 2031945344 is about 1266.5937499423.

The spelling of 2031945344 in words is "two billion, thirty-one million, nine hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 128 143 176 208 248 286 341 352 403 416 496 572 682 704 806 832 992 1144 1364 1408 1612 1664 1984 2288 2728 3224 3581 3968 4433 4576 5456 6448 7162 8866 9152 10912 12896 14324 17732 18304 21824 25792 28648 35464 39391 43648 46553 51584 57296 70928 78782 93106 111011 114592 141856 157564 186212 222022 229184 283712 315128 372424 444044 458368 512083 567424 630256 744848 888088 1024166 1221121 1260512 1443143 1489696 1776176 2048332 2442242 2521024 2886286 2979392 3552352 4096664 4884484 5042048 5772572 5958784 7104704 8193328 9768968 11545144 14209408 15874573 16386656 19537936 23090288 31749146 32773312 39075872 46180576 63498292 65546624 78151744 92361152 126996584 156303488 184722304 253993168 507986336 1015972672 2031945344