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313497327 = 311213312143
BaseRepresentation
bin10010101011111…
…001011011101111
3210211220022111010
4102223321123233
51120223403302
651035200303
710524453243
oct2253713357
9724808433
10313497327
11150a63200
1288ba6093
134cc454a0
142d8c8423
151c7c816c
hex12af96ef

313497327 has 48 divisors (see below), whose sum is σ = 510992384. Its totient is φ = 169646400.

The previous prime is 313497319. The next prime is 313497409. The reversal of 313497327 is 723794313.

It is not a de Polignac number, because 313497327 - 23 = 313497319 is a prime.

It is a super-2 number, since 2×3134973272 = 196561148072289858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313497227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145218 + ... + 147360.

Almost surely, 2313497327 is an apocalyptic number.

313497327 is a deficient number, since it is larger than the sum of its proper divisors (197495057).

313497327 is a wasteful number, since it uses less digits than its factorization.

313497327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2201 counting only the distinct ones).

The product of its digits is 95256, while the sum is 39.

The square root of 313497327 is about 17705.8557262845. The cubic root of 313497327 is about 679.3255473895.

The spelling of 313497327 in words is "three hundred thirteen million, four hundred ninety-seven thousand, three hundred twenty-seven".

Divisors: 1 3 11 13 31 33 39 93 121 143 341 363 403 429 1023 1209 1573 2143 3751 4433 4719 6429 11253 13299 23573 27859 48763 66433 70719 83577 146289 199299 259303 306449 730763 777909 863629 919347 2192289 2590887 3370939 8038393 9499919 10112817 24115179 28499757 104499109 313497327