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2433994108 = 2271321779383
BaseRepresentation
bin1001000100010011…
…1100110101111100
320021121222201012221
42101010330311330
514441100302413
61041304535124
7114213415510
oct22104746574
96247881187
102433994108
111039a20887
1257b1814a4
132ca35b900
1419138c140
15e3a3d68d
hex9113cd7c

2433994108 has 144 divisors (see below), whose sum is σ = 5666734080. Its totient is φ = 892449792.

The previous prime is 2433994093. The next prime is 2433994117. The reversal of 2433994108 is 8014993342.

2433994108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×24339941083 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6354885 + ... + 6355267.

It is an arithmetic number, because the mean of its divisors is an integer number (39352320).

Almost surely, 22433994108 is an apocalyptic number.

2433994108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2433994108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833367040).

2433994108 is an abundant number, since it is smaller than the sum of its proper divisors (3232739972).

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

2433994108 is a wasteful number, since it uses less digits than its factorization.

2433994108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 2433994108 is about 49335.5258206498. The cubic root of 2433994108 is about 1345.1576139556.

The spelling of 2433994108 in words is "two billion, four hundred thirty-three million, nine hundred ninety-four thousand, one hundred eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 79 91 119 158 169 182 221 238 316 338 364 383 442 476 553 676 766 884 1027 1106 1183 1343 1532 1547 2054 2212 2366 2681 2686 2873 3094 4108 4732 4979 5362 5372 5746 6188 6511 7189 9401 9958 10724 11492 13022 13351 14378 17459 18802 19916 20111 26044 26702 28756 30257 34853 34918 37604 40222 45577 53404 60514 64727 69706 69836 80444 84643 91154 93457 121028 122213 129454 139412 169286 182308 186914 211799 226967 244426 258908 338572 373828 393341 423598 453089 453934 488852 514369 592501 786682 847196 906178 907868 1028738 1100359 1185002 1573364 1588769 1812356 2057476 2200718 2370004 2753387 3177538 3600583 4401436 5113433 5506774 6355076 6686797 7201166 7702513 10226866 11013548 13373594 14402332 15405026 20453732 26747188 30810052 35794031 46807579 71588062 86928361 93615158 143176124 173856722 187230316 347713444 608498527 1216997054 2433994108