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3452253240 = 2335174493769
BaseRepresentation
bin1100110111000101…
…0011010000111000
322220121000122011010
43031301103100320
524032234100430
61330321433520
7151356445152
oct31561232070
98817018133
103452253240
111511785a57
1280419b8a0
134302bc9c7
1424a6cdad2
15153129cb0
hexcdc53438

3452253240 has 128 divisors (see below), whose sum is σ = 10993320000. Its totient is φ = 864288768.

The previous prime is 3452253227. The next prime is 3452253269. The reversal of 3452253240 is 423522543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3452253198 and 3452253207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914076 + ... + 917844.

Almost surely, 23452253240 is an apocalyptic number.

3452253240 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 3452253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496660000).

3452253240 is an abundant number, since it is smaller than the sum of its proper divisors (7541066760).

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

3452253240 is a wasteful number, since it uses less digits than its factorization.

3452253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3452253240 is about 58755.8783442134. The cubic root of 3452253240 is about 1511.3586940467.

Adding to 3452253240 its reverse (423522543), we get a palindrome (3875775783).

The spelling of 3452253240 in words is "three billion, four hundred fifty-two million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 449 510 680 898 1020 1347 1796 2040 2245 2694 3592 3769 4490 5388 6735 7538 7633 8980 10776 11307 13470 15076 15266 17960 18845 22614 22899 26940 30152 30532 37690 38165 45228 45798 53880 56535 61064 64073 75380 76330 90456 91596 113070 114495 128146 150760 152660 183192 192219 226140 228990 256292 305320 320365 384438 452280 457980 512584 640730 768876 915960 961095 1281460 1537752 1692281 1922190 2562920 3384562 3844380 5076843 6769124 7688760 8461405 10153686 13538248 16922810 20307372 25384215 28768777 33845620 40614744 50768430 57537554 67691240 86306331 101536860 115075108 143843885 172612662 203073720 230150216 287687770 345225324 431531655 575375540 690450648 863063310 1150751080 1726126620 3452253240