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6948340 = 2257311601
BaseRepresentation
bin11010100000010111110100
3111002000022221
4122200113310
53234321330
6404532124
7113026360
oct32402764
914060287
106948340
113a16433
1223b1044
131593859
14ccc2a0
15923b7a
hex6a05f4

6948340 has 48 divisors (see below), whose sum is σ = 17224704. Its totient is φ = 2304000.

The previous prime is 6948307. The next prime is 6948343. The reversal of 6948340 is 438496.

6948340 = T145 + T146 + ... + T354.

It is a junction number, because it is equal to n+sod(n) for n = 6948296 and 6948305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3540 + ... + 5140.

It is an arithmetic number, because the mean of its divisors is an integer number (358848).

Almost surely, 26948340 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 6948340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612352).

6948340 is an abundant number, since it is smaller than the sum of its proper divisors (10276364).

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

6948340 is a wasteful number, since it uses less digits than its factorization.

6948340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 6948340 is about 2635.9704095456. The cubic root of 6948340 is about 190.8213748071.

The spelling of 6948340 in words is "six million, nine hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 1601 2170 3202 4340 6404 8005 11207 16010 22414 32020 44828 49631 56035 99262 112070 198524 224140 248155 347417 496310 694834 992620 1389668 1737085 3474170 6948340