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324220422440 = 2351937106110867
BaseRepresentation
bin1001011011111010000…
…10110000100100101000
31010222212110220222012002
410231331002300210220
520303000412004230
6404540024510132
732265325056005
oct4557502604450
91128773828162
10324220422440
11115556a81152
1252a0491b348
132475c9b2a15
1411999b588ac
158678be0545
hex4b7d0b0928

324220422440 has 128 divisors (see below), whose sum is σ = 789460214400. Its totient is φ = 119418209280.

The previous prime is 324220422391. The next prime is 324220422481. The reversal of 324220422440 is 44224022423.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29829887 + ... + 29840753.

It is an arithmetic number, because the mean of its divisors is an integer number (6167657925).

Almost surely, 2324220422440 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 324220422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394730107200).

324220422440 is an abundant number, since it is smaller than the sum of its proper divisors (465239791960).

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

324220422440 is a wasteful number, since it uses less digits than its factorization.

324220422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 324220422440 its reverse (44224022423), we get a palindrome (368444444863).

The spelling of 324220422440 in words is "three hundred twenty-four billion, two hundred twenty million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1061 1406 1480 2122 2812 3515 4244 5305 5624 7030 8488 10610 10867 14060 20159 21220 21734 28120 39257 40318 42440 43468 54335 78514 80636 86936 100795 108670 157028 161272 196285 201590 206473 217340 314056 392570 402079 403180 412946 434680 745883 785140 804158 806360 825892 1032365 1491766 1570280 1608316 1651784 2010395 2064730 2983532 3216632 3729415 4020790 4129460 5967064 7458830 7639501 8041580 8258920 11529887 14917660 15279002 16083160 23059774 29835320 30558004 38197505 46119548 57649435 61116008 76395010 92239096 115298870 152790020 219067853 230597740 305580040 426605819 438135706 461195480 853211638 876271412 1095339265 1706423276 1752542824 2133029095 2190678530 3412846552 4266058190 4381357060 8105510561 8532116380 8762714120 16211021122 17064232760 32422042244 40527552805 64844084488 81055105610 162110211220 324220422440