Search a number
-
+
3254420000 = 25541312517
BaseRepresentation
bin1100000111111010…
…1000001000100000
322101210202122222002
43001332220020200
523131112420000
61254533303132
7143435053646
oct30176501040
98353678862
103254420000
111420042a07
12769a94aa8
133cb313a10
1422c313196
15140a9c8d5
hexc1fa8220

3254420000 has 120 divisors (see below), whose sum is σ = 8622924156. Its totient is φ = 1201536000.

The previous prime is 3254419979. The next prime is 3254420009. The reversal of 3254420000 is 244523.

It can be written as a sum of positive squares in 10 ways, for example, as 143904016 + 3110515984 = 11996^2 + 55772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3254420009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 253742 + ... + 266258.

Almost surely, 23254420000 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 3254420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311462078).

3254420000 is an abundant number, since it is smaller than the sum of its proper divisors (5368504156).

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

3254420000 is a wasteful number, since it uses less digits than its factorization.

3254420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12560 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3254420000 is about 57047.5240479374. The cubic root of 3254420000 is about 1481.9192291294.

Adding to 3254420000 its reverse (244523), we get a palindrome (3254664523).

The spelling of 3254420000 in words is "three billion, two hundred fifty-four million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 12517 13000 16250 20000 25034 26000 32500 50068 52000 62585 65000 100136 125170 130000 162721 200272 250340 260000 312925 325442 400544 500680 625850 650884 813605 1001360 1251700 1301768 1564625 1627210 2002720 2503400 2603536 3129250 3254420 4068025 5006800 5207072 6258500 6508840 7823125 8136050 10013600 12517000 13017680 15646250 16272100 20340125 25034000 26035360 31292500 32544200 40680250 50068000 62585000 65088400 81360500 101700625 125170000 130176800 162721000 203401250 250340000 325442000 406802500 650884000 813605000 1627210000 3254420000