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297045144 = 23351129479
BaseRepresentation
bin10001101101001…
…000110010011000
3202200221110100000
4101231020302120
51102020421034
645250413000
710234561554
oct2155106230
9680843300
10297045144
11142746460
1283591160
1349704b76
142b644864
151b128599
hex11b48c98

297045144 has 192 divisors, whose sum is σ = 943488000. Its totient is φ = 86728320.

The previous prime is 297045127. The next prime is 297045149. The reversal of 297045144 is 441540792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 297045099 and 297045108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297045149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619897 + ... + 620375.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2297045144 is an apocalyptic number.

297045144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 297045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

297045144 is an abundant number, since it is smaller than the sum of its proper divisors (646442856).

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

297045144 is a wasteful number, since it uses less digits than its factorization.

297045144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 297045144 is about 17234.9976501304. The cubic root of 297045144 is about 667.2278299556.

The spelling of 297045144 in words is "two hundred ninety-seven million, forty-five thousand, one hundred forty-four".