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3401200314 = 233149342187
BaseRepresentation
bin1100101010111010…
…0011001010111010
322210000221212201000
43022232203022322
523431201402224
61321255305430
7150166503621
oct31256431272
98700855630
103401200314
111495986156
127ab07b276
13422856285
14243a006b8
1514d8e30c9
hexcaba32ba

3401200314 has 32 divisors (see below), whose sum is σ = 7563464640. Its totient is φ = 1132947216.

The previous prime is 3401200307. The next prime is 3401200331. The reversal of 3401200314 is 4130021043.

3401200314 is a `hidden beast` number, since 340 + 12 + 0 + 0 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59529 + ... + 101715.

It is an arithmetic number, because the mean of its divisors is an integer number (236358270).

Almost surely, 23401200314 is an apocalyptic number.

3401200314 is an abundant number, since it is smaller than the sum of its proper divisors (4162264326).

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

3401200314 is a wasteful number, since it uses less digits than its factorization.

3401200314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43691 (or 43685 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401200314 is about 58319.8106478408. The cubic root of 3401200314 is about 1503.8715269226.

Adding to 3401200314 its reverse (4130021043), we get a palindrome (7531221357).

The spelling of 3401200314 in words is "three billion, four hundred one million, two hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 1493 2986 4479 8958 13437 26874 40311 42187 80622 84374 126561 253122 379683 759366 1139049 2278098 62985191 125970382 188955573 377911146 566866719 1133733438 1700600157 3401200314