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603968442 = 237112961739
BaseRepresentation
bin100011111111111…
…101001110111010
31120002110202221120
4203333331032322
52214103442232
6135533050110
720652434640
oct4377751672
91502422846
10603968442
1128aa19480
1214a326936
1398187c9c
145a2db190
153805392c
hex23ffd3ba

603968442 has 128 divisors (see below), whose sum is σ = 1585612800. Its totient is φ = 148780800.

The previous prime is 603968437. The next prime is 603968459. The reversal of 603968442 is 244869306.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 603968394 and 603968403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816909 + ... + 817647.

It is an arithmetic number, because the mean of its divisors is an integer number (12387600).

Almost surely, 2603968442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 603968442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792806400).

603968442 is an abundant number, since it is smaller than the sum of its proper divisors (981644358).

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

603968442 is a wasteful number, since it uses less digits than its factorization.

603968442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 603968442 is about 24575.7694080979. The cubic root of 603968442 is about 845.2880882248.

The spelling of 603968442 in words is "six hundred three million, nine hundred sixty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 61 66 77 87 122 154 174 183 203 231 319 366 406 427 462 609 638 671 739 854 957 1218 1281 1342 1478 1769 1914 2013 2217 2233 2562 3538 4026 4434 4466 4697 5173 5307 6699 8129 9394 10346 10614 12383 13398 14091 15519 16258 19459 21431 24387 24766 28182 31038 37149 38918 42862 45079 48774 56903 58377 64293 74298 90158 113806 116754 128586 135237 136213 150017 170709 235741 270474 272426 300034 315553 341418 408639 450051 471482 495869 631106 707223 817278 900102 946659 991738 1307291 1414446 1487607 1650187 1893318 2614582 2975214 3300374 3471083 3921873 4950561 6942166 7843746 9151037 9901122 10413249 14380201 18302074 20826498 27453111 28760402 43140603 54906222 86281206 100661407 201322814 301984221 603968442