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3223779240 = 2335116140037
BaseRepresentation
bin1100000000100110…
…1111011110101000
322022200002221202010
43000021233132220
523100241413430
61251520435520
7142613446203
oct30011573650
98280087663
103223779240
111404815070
1275b778ba0
133c4b761a6
1422821893a
1513d048cb0
hexc026f7a8

3223779240 has 128 divisors (see below), whose sum is σ = 10723777920. Its totient is φ = 768691200.

The previous prime is 3223779233. The next prime is 3223779263. The reversal of 3223779240 is 429773223.

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, 60502 + ... + 100538.

It is an arithmetic number, because the mean of its divisors is an integer number (83779515).

Almost surely, 23223779240 is an apocalyptic number.

3223779240 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 3223779240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361888960).

3223779240 is an abundant number, since it is smaller than the sum of its proper divisors (7499998680).

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

3223779240 is a wasteful number, since it uses less digits than its factorization.

3223779240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40123 (or 40119 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 3223779240 is about 56778.3342481972. The cubic root of 3223779240 is about 1477.2537397240.

The spelling of 3223779240 in words is "three billion, two hundred twenty-three million, seven hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 915 1220 1320 1342 1464 1830 2013 2440 2684 3355 3660 4026 5368 6710 7320 8052 10065 13420 16104 20130 26840 40037 40260 80074 80520 120111 160148 200185 240222 320296 400370 440407 480444 600555 800740 880814 960888 1201110 1321221 1601480 1761628 2202035 2402220 2442257 2642442 3523256 4404070 4804440 4884514 5284884 6606105 7326771 8808140 9769028 10569768 12211285 13212210 14653542 17616280 19538056 24422570 26424420 26864827 29307084 36633855 48845140 52848840 53729654 58614168 73267710 80594481 97690280 107459308 134324135 146535420 161188962 214918616 268648270 293070840 322377924 402972405 537296540 644755848 805944810 1074593080 1611889620 3223779240