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2002344032 = 251319614153
BaseRepresentation
bin111011101011001…
…0101100001100000
312011112202121122002
41313112111201200
513100100002112
6530405103132
7100422433463
oct16726254140
95145677562
102002344032
119382a8787
1247a6b7aa8
1325bab8270
1414dd092da
15babc71c2
hex77595860

2002344032 has 96 divisors (see below), whose sum is σ = 4543146720. Its totient is φ = 860958720.

The previous prime is 2002344017. The next prime is 2002344049. The reversal of 2002344032 is 2304432002.

It is a junction number, because it is equal to n+sod(n) for n = 2002343995 and 2002344013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480068 + ... + 484220.

It is an arithmetic number, because the mean of its divisors is an integer number (47324445).

Almost surely, 22002344032 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 2002344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271573360).

2002344032 is an abundant number, since it is smaller than the sum of its proper divisors (2540802688).

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

2002344032 is a wasteful number, since it uses less digits than its factorization.

2002344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4248 counting only the distinct ones).

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

The square root of 2002344032 is about 44747.5589501819. The cubic root of 2002344032 is about 1260.4130736014.

Adding to 2002344032 its reverse (2304432002), we get a palindrome (4306776034).

The spelling of 2002344032 in words is "two billion, two million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 61 76 104 122 152 208 244 247 304 416 488 494 608 793 976 988 1159 1586 1952 1976 2318 3172 3952 4153 4636 6344 7904 8306 9272 12688 15067 16612 18544 25376 30134 33224 37088 53989 60268 66448 78907 107978 120536 132896 157814 215956 241072 253333 315628 431912 482144 506666 631256 863824 1013332 1025791 1262512 1727648 2026664 2051582 2525024 3293329 4053328 4103164 4813327 6586658 8106656 8206328 9626654 13173316 16412656 19253308 26346632 32825312 38506616 52693264 62573251 77013232 105386528 125146502 154026464 250293004 500586008 1001172016 2002344032