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340744400 = 24521794759
BaseRepresentation
bin10100010011110…
…101100011010000
3212202011121102222
4110103311203100
51144212310100
653451200212
711305164623
oct2423654320
9782147388
10340744400
11165383347
1296146068
1355795409
143337bdba
151edab485
hex144f58d0

340744400 has 60 divisors (see below), whose sum is σ = 823384800. Its totient is φ = 135507840.

The previous prime is 340744361. The next prime is 340744409. The reversal of 340744400 is 4447043.

It is a super-2 number, since 2×3407444002 = 232213492262720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340744400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340744409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 69221 + ... + 73979.

It is an arithmetic number, because the mean of its divisors is an integer number (13723080).

Almost surely, 2340744400 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 340744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411692400).

340744400 is an abundant number, since it is smaller than the sum of its proper divisors (482640400).

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

340744400 is a wasteful number, since it uses less digits than its factorization.

340744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 340744400 is about 18459.2632572375. The cubic root of 340744400 is about 698.4622023888.

The spelling of 340744400 in words is "three hundred forty million, seven hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 4759 7160 8950 9518 14320 17900 19036 23795 35800 38072 47590 71600 76144 95180 118975 190360 237950 380720 475900 851861 951800 1703722 1903600 3407444 4259305 6814888 8518610 13629776 17037220 21296525 34074440 42593050 68148880 85186100 170372200 340744400