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3722160640 = 295111311009
BaseRepresentation
bin1101110111011011…
…1010101000000000
3100121101220100111111
43131312322220000
530110333120030
61413202453104
7161144562202
oct33566725000
910541810444
103722160640
111640076420
1287a664194
134741b2623
142744ac772
1516bb9262a
hexdddbaa00

3722160640 has 160 divisors (see below), whose sum is σ = 9819817920. Its totient is φ = 1341849600.

The previous prime is 3722160601. The next prime is 3722160661. The reversal of 3722160640 is 460612273.

3722160640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3688456 + ... + 3689464.

It is an arithmetic number, because the mean of its divisors is an integer number (61373862).

Almost surely, 23722160640 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 3722160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909908960).

3722160640 is an abundant number, since it is smaller than the sum of its proper divisors (6097657280).

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

3722160640 is a wasteful number, since it uses less digits than its factorization.

3722160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3722160640 is about 61009.5127008895. The cubic root of 3722160640 is about 1549.7621057028.

The spelling of 3722160640 in words is "three billion, seven hundred twenty-two million, one hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 131 160 176 220 256 262 320 352 440 512 524 640 655 704 880 1009 1048 1280 1310 1408 1441 1760 2018 2096 2560 2620 2816 2882 3520 4036 4192 5045 5240 5632 5764 7040 7205 8072 8384 10090 10480 11099 11528 14080 14410 16144 16768 20180 20960 22198 23056 28160 28820 32288 33536 40360 41920 44396 46112 55495 57640 64576 67072 80720 83840 88792 92224 110990 115280 129152 132179 161440 167680 177584 184448 221980 230560 258304 264358 322880 335360 355168 368896 443960 461120 516608 528716 645760 660895 710336 737792 887920 922240 1057432 1291520 1321790 1420672 1453969 1775840 1844480 2114864 2583040 2643580 2841344 2907938 3551680 3688960 4229728 5287160 5682688 5815876 7103360 7269845 8459456 10574320 11631752 14206720 14539690 16918912 21148640 23263504 28413440 29079380 33837824 42297280 46527008 58158760 67675648 84594560 93054016 116317520 169189120 186108032 232635040 338378240 372216064 465270080 744432128 930540160 1861080320 3722160640