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343397961 = 34292712
BaseRepresentation
bin10100011101111…
…101011001001001
3212221011102110000
4110131331121021
51200402213321
654024113213
711336556144
oct2435753111
9787142400
10343397961
11166925a75
1297005809
13561b417a
143386d05b
1520232826
hex1477d649

343397961 has 45 divisors (see below), whose sum is σ = 538864183. Its totient is φ = 217924560.

The previous prime is 343397959. The next prime is 343397987. The reversal of 343397961 is 169793343.

It is a happy number.

The square root of 343397961 is 18531.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 180069561 + 163328400 = 13419^2 + 12780^2 .

It is not a de Polignac number, because 343397961 - 21 = 343397959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (343397941) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4836556 + ... + 4836626.

Almost surely, 2343397961 is an apocalyptic number.

343397961 is the 18531-st square number.

343397961 is the 9266-th centered octagonal number.

It is an amenable number.

343397961 is a deficient number, since it is larger than the sum of its proper divisors (195466222).

343397961 is an frugal number, since it uses more digits than its factorization.

343397961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 103 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The cubic root of 343397961 is about 700.2706171357.

The spelling of 343397961 in words is "three hundred forty-three million, three hundred ninety-seven thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 29 71 81 87 213 261 639 783 841 1917 2059 2349 2523 5041 5751 6177 7569 15123 18531 22707 45369 55593 59711 68121 136107 146189 166779 179133 408321 438567 537399 1315701 1612197 3947103 4239481 4836591 11841309 12718443 38155329 114465987 343397961