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4966344 = 2332232999
BaseRepresentation
bin10010111100011111001000
3100100022112200
4102330133020
52232410334
6254240200
760133065
oct22743710
910308480
104966344
112892319
1217b6060
13104b686
14933c6c
15681799
hex4bc7c8

4966344 has 48 divisors (see below), whose sum is σ = 14040000. Its totient is φ = 1582944.

The previous prime is 4966343. The next prime is 4966373. The reversal of 4966344 is 4436694.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4966299 and 4966308.

It is not an unprimeable number, because it can be changed into a prime (4966343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (292500).

Almost surely, 24966344 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 4966344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020000).

4966344 is an abundant number, since it is smaller than the sum of its proper divisors (9073656).

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

4966344 is a wasteful number, since it uses less digits than its factorization.

4966344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3027 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4966344 is about 2228.5295600463. The cubic root of 4966344 is about 170.6130575709.

The spelling of 4966344 in words is "four million, nine hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2999 5998 8997 11996 17994 23992 26991 35988 53982 68977 71976 107964 137954 206931 215928 275908 413862 551816 620793 827724 1241586 1655448 2483172 4966344