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31348044 = 223272131367
BaseRepresentation
bin111011110010…
…1010101001100
32011222122102200
41313211111030
531011114134
63035521500
7530311500
oct167452514
964878380
1031348044
1116771282
12a5b9290
136657750
144240300
152b43499
hex1de554c

31348044 has 108 divisors (see below), whose sum is σ = 99341424. Its totient is φ = 8261568.

The previous prime is 31348007. The next prime is 31348061. The reversal of 31348044 is 44084313.

It is a junction number, because it is equal to n+sod(n) for n = 31347999 and 31348017.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22249 + ... + 23615.

It is an arithmetic number, because the mean of its divisors is an integer number (919828).

Almost surely, 231348044 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 31348044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49670712).

31348044 is an abundant number, since it is smaller than the sum of its proper divisors (67993380).

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

31348044 is a wasteful number, since it uses less digits than its factorization.

31348044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 31348044 is about 5598.9323982345. The cubic root of 31348044 is about 315.3093257764.

The spelling of 31348044 in words is "thirty-one million, three hundred forty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1367 1638 1764 1911 2548 2734 3276 3822 4101 5468 5733 7644 8202 9569 11466 12303 16404 17771 19138 22932 24606 28707 35542 38276 49212 53313 57414 66983 71084 86121 106626 114828 124397 133966 159939 172242 200949 213252 248794 267932 319878 344484 373191 401898 497588 602847 639756 746382 803796 870779 1119573 1205694 1492764 1741558 2239146 2411388 2612337 3483116 4478292 5224674 7837011 10449348 15674022 31348044