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3250213440 = 26357274657
BaseRepresentation
bin1100000110111010…
…0101001001000000
322101111211221122120
43001232211021000
523124023312230
61254303204240
7143354233635
oct30156451100
98344757576
103250213440
11141872a511
127685a6680
133ca4a0126
1422b93a18c
1514051b310
hexc1ba5240

3250213440 has 112 divisors (see below), whose sum is σ = 10335841152. Its totient is φ = 865345536.

The previous prime is 3250213429. The next prime is 3250213441. The reversal of 3250213440 is 443120523.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3250213440.

It is not an unprimeable number, because it can be changed into a prime (3250213441) 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, 695592 + ... + 700248.

It is an arithmetic number, because the mean of its divisors is an integer number (92284296).

Almost surely, 23250213440 is an apocalyptic number.

3250213440 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 3250213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167920576).

3250213440 is an abundant number, since it is smaller than the sum of its proper divisors (7085627712).

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

3250213440 is a wasteful number, since it uses less digits than its factorization.

3250213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3250213440 is about 57010.6432168591. The cubic root of 3250213440 is about 1481.2804599124.

Adding to 3250213440 its reverse (443120523), we get a palindrome (3693333963).

The spelling of 3250213440 in words is "three billion, two hundred fifty million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 727 960 1454 2181 2908 3635 4362 4657 5816 7270 8724 9314 10905 11632 13971 14540 17448 18628 21810 23264 23285 27942 29080 34896 37256 43620 46528 46570 55884 58160 69792 69855 74512 87240 93140 111768 116320 139584 139710 149024 174480 186280 223536 232640 279420 298048 348960 372560 447072 558840 697920 745120 894144 1117680 1490240 2235360 3385639 4470720 6771278 10156917 13542556 16928195 20313834 27085112 33856390 40627668 50784585 54170224 67712780 81255336 101569170 108340448 135425560 162510672 203138340 216680896 270851120 325021344 406276680 541702240 650042688 812553360 1083404480 1625106720 3250213440