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642321036 = 223373722963
BaseRepresentation
bin100110010010010…
…000101010001100
31122202122021211000
4212102100222030
52303413233121
6143423100300
721626432040
oct4622205214
91582567730
10642321036
112aa634335
1215b141690
13a30c5a26
1461442020
153b5cc526
hex26490a8c

642321036 has 96 divisors (see below), whose sum is σ = 1954695680. Its totient is φ = 178552512.

The previous prime is 642321019. The next prime is 642321077. The reversal of 642321036 is 630123246.

642321036 is a `hidden beast` number, since 642 + 3 + 2 + 10 + 3 + 6 = 666.

It is a super-2 number, since 2×6423210362 = 825152626576226592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16491 + ... + 39453.

Almost surely, 2642321036 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 642321036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977347840).

642321036 is an abundant number, since it is smaller than the sum of its proper divisors (1312374644).

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

642321036 is a wasteful number, since it uses less digits than its factorization.

642321036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23020 (or 23012 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 642321036 is about 25344.0532669895. The cubic root of 642321036 is about 862.8143942693.

It can be divided in two parts, 6423210 and 36, that added together give a palindrome (6423246).

The spelling of 642321036 in words is "six hundred forty-two million, three hundred twenty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 6993 9324 13986 22963 27972 45926 68889 91852 137778 160741 206667 275556 321482 413334 482223 620001 642964 826668 849631 964446 1240002 1446669 1699262 1928892 2480004 2548893 2893338 3398524 4340007 5097786 5786676 5947417 7646679 8680014 10195572 11894834 15293358 17360028 17842251 22940037 23789668 30586716 35684502 45880074 53526753 71369004 91760148 107053506 160580259 214107012 321160518 642321036