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31376340 = 22325315623
BaseRepresentation
bin111011110110…
…0001111010100
32012001002020200
41313230033110
531013020330
63040300500
7530460132
oct167541724
965032220
1031376340
1116790566
12a611730
1366675a8
14424a752
152b4ba60
hex1dec3d4

31376340 has 72 divisors (see below), whose sum is σ = 98262528. Its totient is φ = 8095680.

The previous prime is 31376311. The next prime is 31376341. The reversal of 31376340 is 4367313.

It is a happy number.

31376340 is a `hidden beast` number, since 313 + 7 + 6 + 340 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31376341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2769 + ... + 8391.

Almost surely, 231376340 is an apocalyptic number.

31376340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31376340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49131264).

31376340 is an abundant number, since it is smaller than the sum of its proper divisors (66886188).

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

31376340 is a wasteful number, since it uses less digits than its factorization.

31376340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5664 counting only the distinct ones).

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

The square root of 31376340 is about 5601.4587385787. The cubic root of 31376340 is about 315.4041675214.

The spelling of 31376340 in words is "thirty-one million, three hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 5623 11246 16869 22492 28115 33738 50607 56230 67476 84345 101214 112460 168690 174313 202428 253035 337380 348626 506070 522939 697252 871565 1012140 1045878 1568817 1743130 2091756 2614695 3137634 3486260 5229390 6275268 7844085 10458780 15688170 31376340