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3402135 = 335112979
BaseRepresentation
bin1100111110100110010111
320101211212000
430332212113
51332332020
6200530343
740626522
oct14764627
96354760
103402135
111a14090
1211809b3
139216c9
14647bb9
15473090
hex33e997

3402135 has 64 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 1572480.

The previous prime is 3402131. The next prime is 3402143. The reversal of 3402135 is 5312043.

Adding to 3402135 its reverse (5312043), we get a palindrome (8714178).

It is not a de Polignac number, because 3402135 - 22 = 3402131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43026 + ... + 43104.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

Almost surely, 23402135 is an apocalyptic number.

3402135 is an abundant number, since it is smaller than the sum of its proper divisors (3509865).

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

3402135 is a wasteful number, since it uses less digits than its factorization.

3402135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3402135 is about 1844.4877337624. The cubic root of 3402135 is about 150.4009274266.

The spelling of 3402135 in words is "three million, four hundred two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 79 87 99 135 145 165 237 261 297 319 395 435 495 711 783 869 957 1185 1305 1485 1595 2133 2291 2607 2871 3555 3915 4345 4785 6873 7821 8613 10665 11455 13035 14355 20619 23463 25201 34365 39105 43065 61857 75603 103095 117315 126005 226809 309285 378015 680427 1134045 3402135