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4384968 = 233743607
BaseRepresentation
bin10000101110100011001000
322020210001020
4100232203020
52110304333
6233552440
752162110
oct20564310
98223036
104384968
112525545
121575720
13ba6b73
14822040
155b93b3
hex42e8c8

4384968 has 64 divisors (see below), whose sum is σ = 12840960. Its totient is φ = 1221696.

The previous prime is 4384957. The next prime is 4384979. The reversal of 4384968 is 8694834.

It is an interprime number because it is at equal distance from previous prime (4384957) and next prime (4384979).

It is a super-2 number, since 2×43849682 = 38455888722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6921 + ... + 7527.

It is an arithmetic number, because the mean of its divisors is an integer number (200640).

Almost surely, 24384968 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 4384968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420480).

4384968 is an abundant number, since it is smaller than the sum of its proper divisors (8455992).

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

4384968 is a wasteful number, since it uses less digits than its factorization.

4384968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 4384968 is about 2094.0315183874. The cubic root of 4384968 is about 163.6774345842.

The spelling of 4384968 in words is "four million, three hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 607 903 1032 1204 1214 1806 1821 2408 2428 3612 3642 4249 4856 7224 7284 8498 12747 14568 16996 25494 26101 33992 50988 52202 78303 101976 104404 156606 182707 208808 313212 365414 548121 626424 730828 1096242 1461656 2192484 4384968