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340740400 = 2452711132337
BaseRepresentation
bin10100010011110…
…100100100110000
3212202011101221211
4110103310210300
51144212143100
653451125504
711305150150
oct2423644460
9782141854
10340740400
11165380340
1296143894
1355793650
143337a760
151edaa1ba
hex144f4930

340740400 has 480 divisors, whose sum is σ = 1177924608. Its totient is φ = 91238400.

The previous prime is 340740391. The next prime is 340740403. The reversal of 340740400 is 4047043.

It is a super-2 number, since 2×3407404002 = 232208040384320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (340740403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9209182 + ... + 9209218.

Almost surely, 2340740400 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 340740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588962304).

340740400 is an abundant number, since it is smaller than the sum of its proper divisors (837184208).

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

340740400 is a wasteful number, since it uses less digits than its factorization.

340740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 340740400 is about 18459.1549102336. The cubic root of 340740400 is about 698.4594692945.

Adding to 340740400 its reverse (4047043), we get a palindrome (344787443).

The spelling of 340740400 in words is "three hundred forty million, seven hundred forty thousand, four hundred".