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298140264 = 2334538681
BaseRepresentation
bin10001110001010…
…100001001101000
3202210000002120000
4101301110021220
51102310442024
645330103000
710250102412
oct2161241150
9683002500
10298140264
11143324214
1283a1aa60
13499c9476
142b84b9b2
151b292cc9
hex11c54268

298140264 has 80 divisors (see below), whose sum is σ = 850922820. Its totient is φ = 97493760.

The previous prime is 298140263. The next prime is 298140277. The reversal of 298140264 is 462041892.

It can be written as a sum of positive squares in 2 ways, for example, as 273637764 + 24502500 = 16542^2 + 4950^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (298140263) 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 19 ways as a sum of consecutive naturals, for example, 30004 + ... + 38684.

Almost surely, 2298140264 is an apocalyptic number.

298140264 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 298140264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425461410).

298140264 is an abundant number, since it is smaller than the sum of its proper divisors (552782556).

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

298140264 is a wasteful number, since it uses less digits than its factorization.

298140264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 298140264 is about 17266.7386613686. The cubic root of 298140264 is about 668.0467833896.

The spelling of 298140264 in words is "two hundred ninety-eight million, one hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 8681 11448 17172 17362 26043 34344 34724 52086 69448 78129 104172 156258 208344 234387 312516 460093 468774 625032 703161 920186 937548 1380279 1406322 1840372 1875096 2760558 2812644 3680744 4140837 5521116 5625288 8281674 11042232 12422511 16563348 24845022 33126696 37267533 49690044 74535066 99380088 149070132 298140264