Search a number
-
+
340761376 = 2523716521
BaseRepresentation
bin10100010011111…
…001101100100000
3212202012110201201
4110103321230200
51144213331001
653451410544
711305265254
oct2423715440
9782173651
10340761376
1116539507a
1296153a54
13557a0067
1433384264
151edb1501
hex144f9b20

340761376 has 48 divisors (see below), whose sum is σ = 710011008. Its totient is φ = 160652800.

The previous prime is 340761349. The next prime is 340761401. The reversal of 340761376 is 673167043.

It is a super-2 number, since 2×3407613762 = 232236630746826752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48996 + ... + 55516.

It is an arithmetic number, because the mean of its divisors is an integer number (14791896).

Almost surely, 2340761376 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 340761376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355005504).

340761376 is an abundant number, since it is smaller than the sum of its proper divisors (369249632).

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

340761376 is a wasteful number, since it uses less digits than its factorization.

340761376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 340761376 is about 18459.7230748459. The cubic root of 340761376 is about 698.4738014030.

The spelling of 340761376 in words is "three hundred forty million, seven hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 568 736 1136 1633 2272 3266 6521 6532 13042 13064 26084 26128 52168 52256 104336 149983 208672 299966 462991 599932 925982 1199864 1851964 2399728 3703928 4799456 7407856 10648793 14815712 21297586 42595172 85190344 170380688 340761376