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3418401 = 37315989
BaseRepresentation
bin1101000010100100100001
320102200011110
431002210201
51333342101
6201133533
741025120
oct15024441
96380143
103418401
111a25328
12118a2a9
13928c2c
1464dab7
15477cd6
hex342921

3418401 has 32 divisors (see below), whose sum is σ = 5529600. Its totient is φ = 1837440.

The previous prime is 3418399. The next prime is 3418403. The reversal of 3418401 is 1048143.

It is an interprime number because it is at equal distance from previous prime (3418399) and next prime (3418403).

It is not a de Polignac number, because 3418401 - 21 = 3418399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

3418401 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418403) 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, 38365 + ... + 38453.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 23418401 is an apocalyptic number.

3418401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3418401 is a deficient number, since it is larger than the sum of its proper divisors (2111199).

3418401 is a wasteful number, since it uses less digits than its factorization.

3418401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3418401 is about 1848.8918302594. The cubic root of 3418401 is about 150.6402411648.

The spelling of 3418401 in words is "three million, four hundred eighteen thousand, four hundred one".

Divisors: 1 3 7 21 31 59 89 93 177 217 267 413 623 651 1239 1829 1869 2759 5251 5487 8277 12803 15753 19313 36757 38409 57939 110271 162781 488343 1139467 3418401