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312371740 = 225231275347
BaseRepresentation
bin10010100111100…
…110101000011100
3210202210010110201
4102213212220130
51114431343430
650555113244
710512054532
oct2247465034
9722703421
10312371740
1115036456a
1288742824
134c940065
142d6b4152
151c6548ca
hex129e6a1c

312371740 has 48 divisors (see below), whose sum is σ = 690020352. Its totient is φ = 118552896.

The previous prime is 312371711. The next prime is 312371833. The reversal of 312371740 is 47173213.

It is a super-2 number, since 2×3123717402 = 195152207901255200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312371699 and 312371708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55747 + ... + 61093.

It is an arithmetic number, because the mean of its divisors is an integer number (14375424).

Almost surely, 2312371740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312371740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345010176).

312371740 is an abundant number, since it is smaller than the sum of its proper divisors (377648612).

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

312371740 is a wasteful number, since it uses less digits than its factorization.

312371740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 312371740 is about 17674.0414167219. The cubic root of 312371740 is about 678.5115511233.

The spelling of 312371740 in words is "three hundred twelve million, three hundred seventy-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 230 254 460 508 635 1270 2540 2921 5347 5842 10694 11684 14605 21388 26735 29210 53470 58420 106940 122981 245962 491924 614905 679069 1229810 1358138 2459620 2716276 3395345 6790690 13581380 15618587 31237174 62474348 78092935 156185870 312371740