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340150400 = 2752106297
BaseRepresentation
bin10100010001100…
…100100010000000
3212201001102121222
4110101210202000
51144034303100
653430334212
711300142062
oct2421444200
9781042558
10340150400
11165008037
1295aba368
1355617c35
1433265732
151ece0485
hex14464880

340150400 has 48 divisors (see below), whose sum is σ = 840285690. Its totient is φ = 136058880.

The previous prime is 340150397. The next prime is 340150403. The reversal of 340150400 is 4051043.

It is an interprime number because it is at equal distance from previous prime (340150397) and next prime (340150403).

It can be written as a sum of positive squares in 3 ways, for example, as 271326784 + 68823616 = 16472^2 + 8296^2 .

It is not an unprimeable number, because it can be changed into a prime (340150403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49949 + ... + 56348.

Almost surely, 2340150400 is an apocalyptic number.

It is an amenable number.

340150400 is an abundant number, since it is smaller than the sum of its proper divisors (500135290).

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

340150400 is a wasteful number, since it uses less digits than its factorization.

340150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106321 (or 106304 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 340150400 is about 18443.1667562813. The cubic root of 340150400 is about 698.0561034042.

The spelling of 340150400 in words is "three hundred forty million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 106297 212594 425188 531485 850376 1062970 1700752 2125940 2657425 3401504 4251880 5314850 6803008 8503760 10629700 13606016 17007520 21259400 34015040 42518800 68030080 85037600 170075200 340150400