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3453880560 = 2435132348131
BaseRepresentation
bin1100110111011110…
…0000100011110000
322220201002022102020
43031313200203300
524033143134220
61330420351440
7151406333424
oct31567404360
98821068366
103453880560
111512697649
12804845580
1343073c610
1424a9d4b84
1515334c040
hexcdde08f0

3453880560 has 160 divisors (see below), whose sum is σ = 12032229888. Its totient is φ = 813204480.

The previous prime is 3453880519. The next prime is 3453880561. The reversal of 3453880560 is 650883543.

3453880560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3453880561) 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, 47695 + ... + 95825.

Almost surely, 23453880560 is an apocalyptic number.

3453880560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3453880560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016114944).

3453880560 is an abundant number, since it is smaller than the sum of its proper divisors (8578349328).

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

3453880560 is a wasteful number, since it uses less digits than its factorization.

3453880560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48183 (or 48177 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 3453880560 is about 58769.7248589782. The cubic root of 3453880560 is about 1511.5961310396.

The spelling of 3453880560 in words is "three billion, four hundred fifty-three million, eight hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 184 195 208 230 240 260 276 299 312 345 368 390 460 520 552 598 624 690 780 897 920 1040 1104 1196 1380 1495 1560 1794 1840 2392 2760 2990 3120 3588 4485 4784 5520 5980 7176 8970 11960 14352 17940 23920 35880 48131 71760 96262 144393 192524 240655 288786 385048 481310 577572 625703 721965 770096 962620 1107013 1155144 1251406 1443930 1877109 1925240 2214026 2310288 2502812 2887860 3128515 3321039 3754218 3850480 4428052 5005624 5535065 5775720 6257030 6642078 7508436 8856104 9385545 10011248 11070130 11551440 12514060 13284156 14391169 15016872 16605195 17712208 18771090 22140260 25028120 26568312 28782338 30033744 33210390 37542180 43173507 44280520 50056240 53136624 57564676 66420780 71955845 75084360 86347014 88561040 115129352 132841560 143911690 150168720 172694028 215867535 230258704 265683120 287823380 345388056 431735070 575646760 690776112 863470140 1151293520 1726940280 3453880560