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174144006 = 2351918859
BaseRepresentation
bin10100110000100…
…11101000000110
3110010200102200000
422120103220012
5324040102011
625140302130
74213125321
oct1230235006
9403612600
10174144006
118a332a73
124a3a1946
132a1035ba
14191b17b8
151044d356
hexa613a06

174144006 has 48 divisors (see below), whose sum is σ = 411902400. Its totient is φ = 54989928.

The previous prime is 174144001. The next prime is 174144007. The reversal of 174144006 is 600441471.

It is a super-2 number, since 2×1741440062 = 60652269651456072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (174144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196 + ... + 18663.

It is an arithmetic number, because the mean of its divisors is an integer number (8581300).

Almost surely, 2174144006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 174144006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205951200).

174144006 is an abundant number, since it is smaller than the sum of its proper divisors (237758394).

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

174144006 is a wasteful number, since it uses less digits than its factorization.

174144006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18895 (or 18883 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 174144006 is about 13196.3633626844. The cubic root of 174144006 is about 558.4309885670.

Adding to 174144006 its reverse (600441471), we get a palindrome (774585477).

The spelling of 174144006 in words is "one hundred seventy-four million, one hundred forty-four thousand, six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 9234 18859 37718 56577 113154 169731 339462 358321 509193 716642 1018386 1074963 1527579 2149926 3055158 3224889 4582737 6449778 9165474 9674667 19349334 29024001 58048002 87072003 174144006