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3284248240 = 2457131992267
BaseRepresentation
bin1100001111000001…
…1010011010110000
322110212220002121201
43003300122122300
523211231420430
61301520500544
7144246435520
oct30360323260
98425802551
103284248240
111435966349
12777a7a754
13404558770
14232279680
151434e08ca
hexc3c1a6b0

3284248240 has 160 divisors (see below), whose sum is σ = 9449395200. Its totient is φ = 1033731072.

The previous prime is 3284248237. The next prime is 3284248259. The reversal of 3284248240 is 428424823.

It is a self number, because there is not a number n which added to its sum of digits gives 3284248240.

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, 1447587 + ... + 1449853.

It is an arithmetic number, because the mean of its divisors is an integer number (59058720).

Almost surely, 23284248240 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 3284248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724697600).

3284248240 is an abundant number, since it is smaller than the sum of its proper divisors (6165146960).

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

3284248240 is a wasteful number, since it uses less digits than its factorization.

3284248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The square root of 3284248240 is about 57308.3609955825. The cubic root of 3284248240 is about 1486.4329549652.

The spelling of 3284248240 in words is "three billion, two hundred eighty-four million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 199 208 260 280 364 398 455 520 560 728 796 910 995 1040 1393 1456 1592 1820 1990 2267 2587 2786 3184 3640 3980 4534 5174 5572 6965 7280 7960 9068 10348 11144 11335 12935 13930 15869 15920 18109 18136 20696 22288 22670 25870 27860 29471 31738 36218 36272 41392 45340 51740 55720 58942 63476 72436 79345 90545 90680 103480 111440 117884 126952 144872 147355 158690 181090 181360 206297 206960 235768 253904 289744 294710 317380 362180 412594 451133 471536 589420 634760 724360 825188 902266 1031485 1178840 1269520 1448720 1650376 1804532 2062970 2255665 2357680 3157931 3300752 3609064 4125940 4511330 5864729 6315862 7218128 8251880 9022660 11729458 12631724 15789655 16503760 18045320 23458916 25263448 29323645 31579310 36090640 41053103 46917832 50526896 58647290 63158620 82106206 93835664 117294580 126317240 164212412 205265515 234589160 252634480 328424824 410531030 469178320 656849648 821062060 1642124120 3284248240