Search a number
-
+
331009973 = 7296126731
BaseRepresentation
bin10011101110101…
…100111110110101
3212001212001022122
4103232230332311
51134214304343
652502405325
711126352440
oct2356547665
9761761278
10331009973
1115a934768
1292a30845
13537676b8
1431d66657
151e0d7068
hex13bacfb5

331009973 has 16 divisors (see below), whose sum is σ = 397772160. Its totient is φ = 269438400.

The previous prime is 331009937. The next prime is 331009993. The reversal of 331009973 is 379900133.

It is a happy number.

It is not a de Polignac number, because 331009973 - 28 = 331009717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331009993) 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 15 ways as a sum of consecutive naturals, for example, 983 + ... + 25748.

It is an arithmetic number, because the mean of its divisors is an integer number (24860760).

Almost surely, 2331009973 is an apocalyptic number.

It is an amenable number.

331009973 is a deficient number, since it is larger than the sum of its proper divisors (66762187).

331009973 is a wasteful number, since it uses less digits than its factorization.

331009973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26828.

The product of its (nonzero) digits is 15309, while the sum is 35.

The square root of 331009973 is about 18193.6794794236. The cubic root of 331009973 is about 691.7465889421.

The spelling of 331009973 in words is "three hundred thirty-one million, nine thousand, nine hundred seventy-three".

Divisors: 1 7 29 61 203 427 1769 12383 26731 187117 775199 1630591 5426393 11414137 47287139 331009973