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3400407101 = 7132310971481
BaseRepresentation
bin1100101010101110…
…0001100000111101
322202222110120121202
43022223201200331
523431001011401
61321230305245
7150156661220
oct31253414075
98688416552
103400407101
111495494203
127aa958225
13422639210
142438755b7
1514d7d806b
hexcaae183d

3400407101 has 32 divisors (see below), whose sum is σ = 4374010368. Its totient is φ = 2569374720.

The previous prime is 3400407091. The next prime is 3400407103. The reversal of 3400407101 is 1017040043.

3400407101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3400407101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400407103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295281 + ... + 2296761.

It is an arithmetic number, because the mean of its divisors is an integer number (136687824).

Almost surely, 23400407101 is an apocalyptic number.

It is an amenable number.

3400407101 is a deficient number, since it is larger than the sum of its proper divisors (973603267).

3400407101 is a wasteful number, since it uses less digits than its factorization.

3400407101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 3400407101 is about 58313.0097062397. The cubic root of 3400407101 is about 1503.7546090621.

Adding to 3400407101 its reverse (1017040043), we get a palindrome (4417447144).

The spelling of 3400407101 in words is "three billion, four hundred million, four hundred seven thousand, one hundred one".

Divisors: 1 7 13 23 91 161 299 1097 1481 2093 7679 10367 14261 19253 25231 34063 99827 134771 176617 238441 328003 442819 1624657 2296021 3099733 11372599 21120541 37367111 147843787 261569777 485772443 3400407101