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307367201 = 2931241269
BaseRepresentation
bin10010010100100…
…000110100100001
3210102100212112102
4102110200310201
51112141222301
650255540145
710421402201
oct2224406441
9712325472
10307367201
11148556589
1286b2a655
134b8aa1ab
142cb70401
151beb6b6b
hex12520d21

307367201 has 24 divisors (see below), whose sum is σ = 337818600. Its totient is φ = 279148800.

The previous prime is 307367173. The next prime is 307367213. The reversal of 307367201 is 102763703.

It can be written as a sum of positive squares in 4 ways, for example, as 5997601 + 301369600 = 2449^2 + 17360^2 .

It is a de Polignac number, because none of the positive numbers 2k-307367201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307367231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142495 + ... + 1142763.

It is an arithmetic number, because the mean of its divisors is an integer number (14075775).

Almost surely, 2307367201 is an apocalyptic number.

307367201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

307367201 is the 7841-st centered decagonal number.

It is an amenable number.

307367201 is a deficient number, since it is larger than the sum of its proper divisors (30451399).

307367201 is a wasteful number, since it uses less digits than its factorization.

307367201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 307367201 is about 17531.8909704572. The cubic root of 307367201 is about 674.8685256509.

The spelling of 307367201 in words is "three hundred seven million, three hundred sixty-seven thousand, two hundred one".

Divisors: 1 29 31 41 269 899 961 1189 1271 7801 8339 11029 27869 36859 39401 241831 258509 319841 341899 1142629 7496761 9915071 10598869 307367201