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10440312 = 2331725589
BaseRepresentation
bin100111110100…
…111001111000
3201122102102020
4213310321320
510133042222
61011434440
7154512141
oct47647170
921572366
1010440312
115990a63
1235b5a20
1322170cc
14155aac8
15db365c
hex9f4e78

10440312 has 32 divisors (see below), whose sum is σ = 27637200. Its totient is φ = 3275264.

The previous prime is 10440301. The next prime is 10440341. The reversal of 10440312 is 21304401.

It is a super-3 number, since 3×104403123 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10440291 and 10440300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12387 + ... + 13202.

Almost surely, 210440312 is an apocalyptic number.

10440312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10440312 is an abundant number, since it is smaller than the sum of its proper divisors (17196888).

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

10440312 is a wasteful number, since it uses less digits than its factorization.

10440312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25615 (or 25611 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10440312 is about 3231.1471647079. The cubic root of 10440312 is about 218.5602401162.

Adding to 10440312 its reverse (21304401), we get a palindrome (31744713).

The spelling of 10440312 in words is "ten million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 25589 51178 76767 102356 153534 204712 307068 435013 614136 870026 1305039 1740052 2610078 3480104 5220156 10440312