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340723423400 = 235241102140697
BaseRepresentation
bin1001111010101001011…
…00101101100010101000
31012120110121020021120212
410331110230231202220
521040300144022100
6420305353240252
733421305212303
oct4752454554250
91176417207525
10340723423400
11121555543018
125604b703088
132618ca31c49
14126c3823b3a
158ce2943635
hex4f54b2d8a8

340723423400 has 96 divisors (see below), whose sum is σ = 812318242680. Its totient is φ = 132831744000.

The previous prime is 340723423399. The next prime is 340723423409. The reversal of 340723423400 is 4324327043.

It can be written as a sum of positive squares in 12 ways, for example, as 37274480356 + 303448943044 = 193066^2 + 550862^2 .

It is not an unprimeable number, because it can be changed into a prime (340723423409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8351852 + ... + 8392548.

Almost surely, 2340723423400 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 340723423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406159121340).

340723423400 is an abundant number, since it is smaller than the sum of its proper divisors (471594819280).

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

340723423400 is a wasteful number, since it uses less digits than its factorization.

340723423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41775 (or 41766 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 32.

The spelling of 340723423400 in words is "three hundred forty billion, seven hundred twenty-three million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1021 1025 1640 2042 2050 4084 4100 5105 8168 8200 10210 20420 25525 40697 40840 41861 51050 81394 83722 102100 162788 167444 203485 204200 209305 325576 334888 406970 418610 813940 837220 1017425 1046525 1627880 1668577 1674440 2034850 2093050 3337154 4069700 4186100 6674308 8139400 8342885 8372200 13348616 16685770 33371540 41551637 41714425 66743080 83103274 83428850 166206548 166857700 207758185 332413096 333715400 415516370 831032740 1038790925 1662065480 1703617117 2077581850 3407234234 4155163700 6814468468 8310327400 8518085585 13628936936 17036171170 34072342340 42590427925 68144684680 85180855850 170361711700 340723423400