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4032342020 = 225759521937
BaseRepresentation
bin1111000001011000…
…1010100000000100
3101102000120012100202
43300112022200010
531224234421040
61504043030032
7201632225120
oct36026124004
911360505322
104032342020
11178a174273
1294650b318
134c35366c5
142a3772580
15189013015
hexf058a804

4032342020 has 96 divisors (see below), whose sum is σ = 9871061760. Its totient is φ = 1355028480.

The previous prime is 4032342007. The next prime is 4032342031. The reversal of 4032342020 is 202432304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4032341983 and 4032342001.

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, 4302992 + ... + 4303928.

It is an arithmetic number, because the mean of its divisors is an integer number (102823560).

Almost surely, 24032342020 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 4032342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935530880).

4032342020 is an abundant number, since it is smaller than the sum of its proper divisors (5838719740).

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

4032342020 is a wasteful number, since it uses less digits than its factorization.

4032342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4032342020 is about 63500.7245627953. The cubic root of 4032342020 is about 1591.6678857600.

Adding to 4032342020 its reverse (202432304), we get a palindrome (4234774324).

The spelling of 4032342020 in words is "four billion, thirty-two million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 521 590 826 937 1042 1180 1652 1874 2065 2084 2605 3647 3748 4130 4685 5210 6559 7294 8260 9370 10420 13118 14588 18235 18740 26236 30739 32795 36470 55283 61478 65590 72940 110566 122956 131180 153695 215173 221132 276415 307390 386981 430346 488177 552830 614780 773962 860692 976354 1075865 1105660 1547924 1934905 1952708 2151730 2440885 3417239 3869810 4303460 4881770 6834478 7739620 9763540 13668956 17086195 28802443 34172390 57604886 68344780 115209772 144012215 201617101 288024430 403234202 576048860 806468404 1008085505 2016171010 4032342020