Search a number
-
+
340377780 = 2235191272351
BaseRepresentation
bin10100010010011…
…100000010110100
3212201110222112110
4110102130002310
51144114042110
653435251020
711302110021
oct2422340264
9781428473
10340377780
11165152956
1295ba9a70
1355697592
14332c4548
151ed37a20
hex1449c0b4

340377780 has 96 divisors (see below), whose sum is σ = 1011548160. Its totient is φ = 85276800.

The previous prime is 340377773. The next prime is 340377781. The reversal of 340377780 is 87773043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340377781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143605 + ... + 145955.

It is an arithmetic number, because the mean of its divisors is an integer number (10536960).

Almost surely, 2340377780 is an apocalyptic number.

340377780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340377780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505774080).

340377780 is an abundant number, since it is smaller than the sum of its proper divisors (671170380).

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

340377780 is a wasteful number, since it uses less digits than its factorization.

340377780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 340377780 is about 18449.3300691380. The cubic root of 340377780 is about 698.2116117152.

The spelling of 340377780 in words is "three hundred forty million, three hundred seventy-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1905 2351 2413 2540 3810 4702 4826 7053 7239 7620 9404 9652 11755 12065 14106 14478 23510 24130 28212 28956 35265 36195 44669 47020 48260 70530 72390 89338 134007 141060 144780 178676 223345 268014 298577 446690 536028 597154 670035 893380 895731 1194308 1340070 1492885 1791462 2680140 2985770 3582924 4478655 5672963 5971540 8957310 11345926 17018889 17914620 22691852 28364815 34037778 56729630 68075556 85094445 113459260 170188890 340377780