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2030606336 = 21111233919
BaseRepresentation
bin111100100001000…
…1001100000000000
312020111221111020002
41321002021200000
513124313400321
6533254535132
7101214604043
oct17102114000
95214844202
102030606336
11952251660
124880674a8
13264902315
14153984c5a
15bd40b20b
hex79089800

2030606336 has 96 divisors (see below), whose sum is σ = 4623091200. Its totient is φ = 882647040.

The previous prime is 2030606309. The next prime is 2030606339. The reversal of 2030606336 is 6336060302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2030606299 and 2030606308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030606339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516185 + ... + 520103.

It is an arithmetic number, because the mean of its divisors is an integer number (48157200).

Almost surely, 22030606336 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 2030606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311545600).

2030606336 is an abundant number, since it is smaller than the sum of its proper divisors (2592484864).

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

2030606336 is a wasteful number, since it uses less digits than its factorization.

2030606336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 2030606336 is about 45062.2495665718. The cubic root of 2030606336 is about 1266.3154695179.

Adding to 2030606336 its reverse (6336060302), we get a palindrome (8366666638).

The spelling of 2030606336 in words is "two billion, thirty million, six hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1024 1408 1472 2024 2048 2816 2944 3919 4048 5632 5888 7838 8096 11264 11776 15676 16192 22528 23552 31352 32384 43109 47104 62704 64768 86218 90137 125408 129536 172436 180274 250816 259072 344872 360548 501632 518144 689744 721096 991507 1003264 1379488 1442192 1983014 2006528 2758976 2884384 3966028 4013056 5517952 5768768 7932056 8026112 11035904 11537536 15864112 22071808 23075072 31728224 44143616 46150144 63456448 88287232 92300288 126912896 184600576 253825792 507651584 1015303168 2030606336