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34532012004 = 22371979273881
BaseRepresentation
bin100000001010010001…
…001010111111100100
310022010121001222002120
4200022101022333210
51031210143341004
623510324505540
72331510154560
oct401221127744
9108117058076
1034532012004
11137104697a6
12683884b2b0
1333442995c9
1419582c86a0
15d7193c3d9
hex80a44afe4

34532012004 has 96 divisors (see below), whose sum is σ = 98159308800. Its totient is φ = 9228660480.

The previous prime is 34532012003. The next prime is 34532012017. The reversal of 34532012004 is 40021023543.

It is not an unprimeable number, because it can be changed into a prime (34532012003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10857 + ... + 263024.

It is an arithmetic number, because the mean of its divisors is an integer number (1022492800).

Almost surely, 234532012004 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 34532012004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49079654400).

34532012004 is an abundant number, since it is smaller than the sum of its proper divisors (63627296796).

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

34532012004 is a wasteful number, since it uses less digits than its factorization.

34532012004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273993 (or 273991 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34532012004 its reverse (40021023543), we get a palindrome (74553035547).

The spelling of 34532012004 in words is "thirty-four billion, five hundred thirty-two million, twelve thousand, four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 79 84 114 133 158 228 237 266 316 399 474 532 553 798 948 1106 1501 1596 1659 2212 3002 3318 4503 6004 6636 9006 10507 18012 21014 31521 42028 63042 126084 273881 547762 821643 1095524 1643286 1917167 3286572 3834334 5203739 5751501 7668668 10407478 11503002 15611217 20814956 21636599 23006004 31222434 36426173 43273198 62444868 64909797 72852346 86546396 109278519 129819594 145704692 151456193 218557038 259639188 302912386 411095381 437114076 454368579 605824772 822190762 908737158 1233286143 1644381524 1817474316 2466572286 2877667667 4933144572 5755335334 8633003001 11510670668 17266006002 34532012004