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4374128 = 241129857
BaseRepresentation
bin10000101011111001110000
322020020011202
4100223321300
52104433003
6233430332
752115363
oct20537160
98206152
104374128
112518390
12156b3a8
13ba1c55
1481c0da
155b6088
hex42be70

4374128 has 40 divisors (see below), whose sum is σ = 9575280. Its totient is φ = 1917440.

The previous prime is 4374119. The next prime is 4374133. The reversal of 4374128 is 8214734.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 4374128.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4676 + ... + 5532.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 24374128 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 4374128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787640).

4374128 is an abundant number, since it is smaller than the sum of its proper divisors (5201152).

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

4374128 is a wasteful number, since it uses less digits than its factorization.

4374128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 4374128 is about 2091.4416080780. The cubic root of 4374128 is about 163.5424486167.

Subtracting 4374128 from its reverse (8214734), we obtain a triangular number (3840606 = T2771).

The spelling of 4374128 in words is "four million, three hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 857 1276 1714 2552 3428 5104 6856 9427 13712 18854 24853 37708 49706 75416 99412 150832 198824 273383 397648 546766 1093532 2187064 4374128