Search a number
-
+
3451030240 = 255719715641
BaseRepresentation
bin1100110110110010…
…1000101011100000
322220111201111111211
43031230220223200
524031430431430
61330235315504
7151343162440
oct31554505340
98814644454
103451030240
111511020109
128038abb94
1342cc82138
1424a492120
15152e8772a
hexcdb28ae0

3451030240 has 96 divisors (see below), whose sum is σ = 9365678784. Its totient is φ = 1177128960.

The previous prime is 3451030237. The next prime is 3451030241. The reversal of 3451030240 is 420301543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3451030241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212820 + ... + 228460.

It is an arithmetic number, because the mean of its divisors is an integer number (97559154).

Almost surely, 23451030240 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 3451030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682839392).

3451030240 is an abundant number, since it is smaller than the sum of its proper divisors (5914648544).

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

3451030240 is a wasteful number, since it uses less digits than its factorization.

3451030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15860 (or 15852 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3451030240 is about 58745.4699530100. The cubic root of 3451030240 is about 1511.1802009613.

Adding to 3451030240 its reverse (420301543), we get a palindrome (3871331783).

The spelling of 3451030240 in words is "three billion, four hundred fifty-one million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 197 224 280 394 560 788 985 1120 1379 1576 1970 2758 3152 3940 5516 6304 6895 7880 11032 13790 15641 15760 22064 27580 31282 31520 44128 55160 62564 78205 109487 110320 125128 156410 218974 220640 250256 312820 437948 500512 547435 625640 875896 1094870 1251280 1751792 2189740 2502560 3081277 3503584 4379480 6162554 8758960 12325108 15406385 17517920 21568939 24650216 30812770 43137878 49300432 61625540 86275756 98600864 107844695 123251080 172551512 215689390 246502160 345103024 431378780 493004320 690206048 862757560 1725515120 3451030240