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445342140 = 2232519197661
BaseRepresentation
bin11010100010110…
…110000110111100
31011000222201120100
4122202312012330
51403001422030
6112105121100
714015226405
oct3242660674
91130881510
10445342140
11209425161
12105189190
1371358879
14432089ac
152916d360
hex1a8b61bc

445342140 has 144 divisors (see below), whose sum is σ = 1431349920. Its totient is φ = 111767040.

The previous prime is 445342133. The next prime is 445342171. The reversal of 445342140 is 41243544.

It is a happy number.

445342140 is a `hidden beast` number, since 445 + 3 + 4 + 214 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673410 + ... + 674070.

It is an arithmetic number, because the mean of its divisors is an integer number (9939930).

Almost surely, 2445342140 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 445342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715674960).

445342140 is an abundant number, since it is smaller than the sum of its proper divisors (986007780).

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

445342140 is a wasteful number, since it uses less digits than its factorization.

445342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 445342140 is about 21103.1310473114. The cubic root of 445342140 is about 763.6562852719.

Adding to 445342140 its reverse (41243544), we get a palindrome (486585684).

The spelling of 445342140 in words is "four hundred forty-five million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 197 228 285 342 380 394 570 591 661 684 788 855 985 1140 1182 1322 1710 1773 1970 1983 2364 2644 2955 3305 3420 3546 3743 3940 3966 5910 5949 6610 7092 7486 7932 8865 9915 11229 11820 11898 12559 13220 14972 17730 18715 19830 22458 23796 25118 29745 33687 35460 37430 37677 39660 44916 50236 56145 59490 62795 67374 74860 75354 112290 113031 118980 125590 130217 134748 150708 168435 188385 224580 226062 251180 260434 336870 376770 390651 452124 520868 565155 651085 673740 753540 781302 1130310 1171953 1302170 1562604 1953255 2260620 2343906 2474123 2604340 3906510 4687812 4948246 5859765 7422369 7813020 9896492 11719530 12370615 14844738 22267107 23439060 24741230 29689476 37111845 44534214 49482460 74223690 89068428 111335535 148447380 222671070 445342140