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9947340 = 22335132109
BaseRepresentation
bin100101111100…
…100011001100
3200201101012000
4211330203030
510021303330
6553112300
7150356664
oct45744314
920641160
109947340
115684647
1233b8690
1320a3900
14146d1a4
15d17560
hex97c8cc

9947340 has 144 divisors (see below), whose sum is σ = 33818400. Its totient is φ = 2426112.

The previous prime is 9947323. The next prime is 9947369. The reversal of 9947340 is 437499.

9947340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9947295 and 9947304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91206 + ... + 91314.

It is an arithmetic number, because the mean of its divisors is an integer number (234850).

Almost surely, 29947340 is an apocalyptic number.

9947340 is a gapful number since it is divisible by the number (90) 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 9947340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909200).

9947340 is an abundant number, since it is smaller than the sum of its proper divisors (23871060).

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

9947340 is a wasteful number, since it uses less digits than its factorization.

9947340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9947340 is about 3153.9403925883. The cubic root of 9947340 is about 215.0646281283.

The spelling of 9947340 in words is "nine million, nine hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 109 117 130 135 156 169 180 195 218 234 260 270 327 338 351 390 436 468 507 540 545 585 654 676 702 780 845 981 1014 1090 1170 1308 1404 1417 1521 1635 1690 1755 1962 2028 2180 2340 2535 2834 2943 3042 3270 3380 3510 3924 4251 4563 4905 5070 5668 5886 6084 6540 7020 7085 7605 8502 9126 9810 10140 11772 12753 14170 14715 15210 17004 18252 18421 19620 21255 22815 25506 28340 29430 30420 36842 38259 42510 45630 51012 55263 58860 63765 73684 76518 85020 91260 92105 110526 127530 153036 165789 184210 191295 221052 255060 276315 331578 368420 382590 497367 552630 663156 765180 828945 994734 1105260 1657890 1989468 2486835 3315780 4973670 9947340