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3002335252 = 2275173771
BaseRepresentation
bin1011001011110100…
…0000000000010100
321202020102102200221
42302331000000110
522122044212002
61213530244124
7134254300000
oct26275000024
97666372627
103002335252
111300815a04
126b9586644
1338b021447
14206a53700
151288a5c37
hexb2f40014

3002335252 has 144 divisors (see below), whose sum is σ = 6759583488. Its totient is φ = 1161699840.

The previous prime is 3002335241. The next prime is 3002335267. The reversal of 3002335252 is 2525332003.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 42286377 + ... + 42286447.

It is an arithmetic number, because the mean of its divisors is an integer number (46941552).

Almost surely, 23002335252 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 3002335252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379791744).

3002335252 is an abundant number, since it is smaller than the sum of its proper divisors (3757248236).

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

3002335252 is an equidigital number, since it uses as much as digits as its factorization.

3002335252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 3002335252 is about 54793.5694402181. The cubic root of 3002335252 is about 1442.6236972701.

Adding to 3002335252 its reverse (2525332003), we get a palindrome (5527667255).

The spelling of 3002335252 in words is "three billion, two million, three hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 37 49 68 71 74 98 119 142 148 196 238 259 284 343 476 497 518 629 686 833 994 1036 1207 1258 1372 1666 1813 1988 2401 2414 2516 2627 3332 3479 3626 4403 4802 4828 5254 5831 6958 7252 8449 8806 9604 10508 11662 12691 13916 16807 16898 17612 18389 23324 24353 25382 30821 33614 33796 36778 40817 44659 48706 50764 59143 61642 67228 73556 81634 88837 89318 97412 118286 123284 128723 163268 170471 177674 178636 215747 236572 257446 285719 312613 340942 355348 414001 431494 514892 571438 621859 625226 681884 828002 862988 901061 1142876 1193297 1243718 1250452 1510229 1656004 1802122 2188291 2386594 2487436 2898007 3020458 3604244 4376582 4773188 5796014 6040916 6307427 8753164 10571603 11592028 12614854 15318037 20286049 21143206 25229708 30636074 40572098 42286412 44151989 61272148 81144196 88303978 107226259 176607956 214452518 428905036 750583813 1501167626 3002335252