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337364001 = 3313961151
BaseRepresentation
bin10100000110111…
…100010000100001
3212111210212102000
4110012330100201
51142331122001
653250514213
711234355342
oct2406742041
9774725360
10337364001
11163484627
1294b95969
1354b80890
1432b3c0c9
151e93ea86
hex141bc421

337364001 has 16 divisors (see below), whose sum is σ = 538245120. Its totient is φ = 207608400.

The previous prime is 337363993. The next prime is 337364003. The reversal of 337364001 is 100463733.

It is a happy number.

It is not a de Polignac number, because 337364001 - 23 = 337363993 is a prime.

It is a super-2 number, since 2×3373640012 = 227628938341456002, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (337364003) 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 15 ways as a sum of consecutive naturals, for example, 480225 + ... + 480926.

It is an arithmetic number, because the mean of its divisors is an integer number (33640320).

Almost surely, 2337364001 is an apocalyptic number.

It is an amenable number.

337364001 is a deficient number, since it is larger than the sum of its proper divisors (200881119).

337364001 is a wasteful number, since it uses less digits than its factorization.

337364001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961173 (or 961167 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 337364001 is about 18367.4712739669. The cubic root of 337364001 is about 696.1447937458.

The spelling of 337364001 in words is "three hundred thirty-seven million, three hundred sixty-four thousand, one".

Divisors: 1 3 9 13 27 39 117 351 961151 2883453 8650359 12494963 25951077 37484889 112454667 337364001