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93407340 = 223513313863
BaseRepresentation
bin1011001000101…
…00100001101100
320111202120210010
411210110201230
5142403013330
613134013220
72212643415
oct544244154
9214676703
1093407340
11487a9354
1227347210
1316475b20
14c59680c
1583013b0
hex591486c

93407340 has 96 divisors (see below), whose sum is σ = 290820096. Its totient is φ = 22245120.

The previous prime is 93407339. The next prime is 93407399. The reversal of 93407340 is 4370439.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 93407298 and 93407307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22249 + ... + 26111.

It is an arithmetic number, because the mean of its divisors is an integer number (3029376).

Almost surely, 293407340 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 93407340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145410048).

93407340 is an abundant number, since it is smaller than the sum of its proper divisors (197412756).

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

93407340 is a wasteful number, since it uses less digits than its factorization.

93407340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 93407340 is about 9664.7472807104. The cubic root of 93407340 is about 453.7260018119.

Adding to 93407340 its reverse (4370439), we get a palindrome (97777779).

The spelling of 93407340 in words is "ninety-three million, four hundred seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 3863 4030 4836 6045 7726 8060 11589 12090 15452 19315 23178 24180 38630 46356 50219 57945 77260 100438 115890 119753 150657 200876 231780 239506 251095 301314 359259 479012 502190 598765 602628 718518 753285 1004380 1197530 1437036 1506570 1556789 1796295 2395060 3013140 3113578 3592590 4670367 6227156 7185180 7783945 9340734 15567890 18681468 23351835 31135780 46703670 93407340