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343412540 = 225233720177
BaseRepresentation
bin10100011110000…
…000111100111100
3212221012011102222
4110132000330330
51200403200130
654024304512
711336646512
oct2436007474
9787164388
10343412540
11166935a19
1297012138
13561ba9b3
14338744b2
1520236ce5
hex14780f3c

343412540 has 48 divisors (see below), whose sum is σ = 772898112. Its totient is φ = 127835136.

The previous prime is 343412527. The next prime is 343412549. The reversal of 343412540 is 45214343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343412549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6932 + ... + 27108.

It is an arithmetic number, because the mean of its divisors is an integer number (16102044).

Almost surely, 2343412540 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 343412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386449056).

343412540 is an abundant number, since it is smaller than the sum of its proper divisors (429485572).

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

343412540 is a wasteful number, since it uses less digits than its factorization.

343412540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20246 (or 20244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 343412540 is about 18531.3933636950. The cubic root of 343412540 is about 700.2805270188.

Adding to 343412540 its reverse (45214343), we get a palindrome (388626883).

The spelling of 343412540 in words is "three hundred forty-three million, four hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 4255 8510 17020 20177 40354 80708 100885 201770 403540 464071 746549 928142 1493098 1856284 2320355 2986196 3732745 4640710 7465490 9281420 14930980 17170627 34341254 68682508 85853135 171706270 343412540