Search a number
-
+
340440237700 = 225273233200153
BaseRepresentation
bin1001111010000111101…
…00011100011010000100
31012112201212100221211121
410331003310130122010
521034210200101300
6420221315443324
733411266163103
oct4750364343204
91175655327747
10340440237700
1112141a703452
1255b908b6544
1326146170544
1412697d8a03a
158cc7b5681a
hex4f43d1c684

340440237700 has 72 divisors (see below), whose sum is σ = 752093066088. Its totient is φ = 133733560320.

The previous prime is 340440237691. The next prime is 340440237701. The reversal of 340440237700 is 7732044043.

It can be written as a sum of positive squares in 12 ways, for example, as 128484968704 + 211955268996 = 358448^2 + 460386^2 .

It is not an unprimeable number, because it can be changed into a prime (340440237701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1600824 + ... + 1800976.

It is an arithmetic number, because the mean of its divisors is an integer number (10445737029).

Almost surely, 2340440237700 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 340440237700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376046533044).

340440237700 is an abundant number, since it is smaller than the sum of its proper divisors (411652828388).

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

340440237700 is a wasteful number, since it uses less digits than its factorization.

340440237700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200473 (or 200466 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 34.

The spelling of 340440237700 in words is "three hundred forty billion, four hundred forty million, two hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 233 292 365 466 730 932 1165 1460 1825 2330 3650 4660 5825 7300 11650 17009 23300 34018 68036 85045 170090 200153 340180 400306 425225 800612 850450 1000765 1700900 2001530 4003060 5003825 10007650 14611169 20015300 29222338 46635649 58444676 73055845 93271298 146111690 186542596 233178245 292223380 365279225 466356490 730558450 932712980 1165891225 1461116900 2331782450 3404402377 4663564900 6808804754 13617609508 17022011885 34044023770 68088047540 85110059425 170220118850 340440237700