Search a number
-
+
3453424000 = 27531316603
BaseRepresentation
bin1100110111010111…
…0001000110000000
322220200020010010121
43031311301012000
524033034032000
61330402510024
7151402422355
oct31565610600
98820203117
103453424000
111512405624
12804665314
1343060c870
1424a91662c
151532abb1a
hexcdd71180

3453424000 has 128 divisors (see below), whose sum is σ = 9247099680. Its totient is φ = 1275033600.

The previous prime is 3453423991. The next prime is 3453424027. The reversal of 3453424000 is 4243543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34534240002 = 23852274647552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 199699 + ... + 216301.

Almost surely, 23453424000 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 3453424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623549840).

3453424000 is an abundant number, since it is smaller than the sum of its proper divisors (5793675680).

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

3453424000 is a wasteful number, since it uses less digits than its factorization.

3453424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16645 (or 16623 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3453424000 is about 58765.8404177121. The cubic root of 3453424000 is about 1511.5295233763.

Adding to 3453424000 its reverse (4243543), we get a palindrome (3457667543).

The spelling of 3453424000 in words is "three billion, four hundred fifty-three million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 640 650 800 832 1000 1040 1300 1600 1625 1664 2000 2080 2600 3200 3250 4000 4160 5200 6500 8000 8320 10400 13000 16000 16603 20800 26000 33206 41600 52000 66412 83015 104000 132824 166030 208000 215839 265648 332060 415075 431678 531296 664120 830150 863356 1062592 1079195 1328240 1660300 1726712 2075375 2125184 2158390 2656480 3320600 3453424 4150750 4316780 5312960 5395975 6641200 6906848 8301500 8633560 10625920 10791950 13282400 13813696 16603000 17267120 21583900 26564800 26979875 27627392 33206000 34534240 43167800 53129600 53959750 66412000 69068480 86335600 107919500 132824000 138136960 172671200 215839000 265648000 345342400 431678000 690684800 863356000 1726712000 3453424000