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320034430002 = 237217186734297
BaseRepresentation
bin1001010100000111000…
…10011101110000110010
31010121001202020112002010
410222003202131300302
520220412303230002
6403004412303350
732056515525300
oct4520342356062
91117052215063
10320034430002
111137a9102071
1252036a71b56
132424369ca11
14116bdc2b270
1584d147b46c
hex4a8389dc32

320034430002 has 96 divisors (see below), whose sum is σ = 788813391168. Its totient is φ = 86011075584.

The previous prime is 320034429941. The next prime is 320034430061. The reversal of 320034430002 is 200034430023.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9314118 + ... + 9348414.

It is an arithmetic number, because the mean of its divisors is an integer number (8216806158).

Almost surely, 2320034430002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320034430002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394406695584).

320034430002 is an abundant number, since it is smaller than the sum of its proper divisors (468778961166).

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

320034430002 is a wasteful number, since it uses less digits than its factorization.

320034430002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36200 (or 36193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 320034430002 its sum of digits (21), we get a palindrome (320034430023).

Adding to 320034430002 its reverse (200034430023), we get a palindrome (520068860025).

The spelling of 320034430002 in words is "three hundred twenty billion, thirty-four million, four hundred thirty thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 1867 2499 3734 4998 5601 11202 13069 26138 31739 34297 39207 63478 68594 78414 91483 95217 102891 182966 190434 205782 222173 240079 274449 444346 480158 548898 583049 666519 720237 1166098 1333038 1440474 1555211 1680553 1749147 3110422 3361106 3498294 4081343 4665633 5041659 8162686 9331266 10083318 12244029 24488058 28569401 57138802 64032499 85708203 128064998 171416406 192097497 384194994 448227493 896454986 1088552483 1344682479 2177104966 2689364958 3137592451 3265657449 6275184902 6531314898 7619867381 9412777353 15239734762 18825554706 22859602143 45719204286 53339071667 106678143334 160017215001 320034430002