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5434440 = 23351123179
BaseRepresentation
bin10100101110110001001000
3101020002122120
4110232301020
52342400230
6312251240
764122564
oct24566110
911202576
105434440
113081a80
1219a0b20
13118375b
14a166a4
15725310
hex52ec48

5434440 has 128 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 1253120.

The previous prime is 5434421. The next prime is 5434447. The reversal of 5434440 is 444345.

It is a super-2 number, since 2×54344402 = 59066276227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5434440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30271 + ... + 30449.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 25434440 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 5434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

5434440 is an abundant number, since it is smaller than the sum of its proper divisors (13227960).

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

5434440 is a wasteful number, since it uses less digits than its factorization.

5434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 5434440 is about 2331.1885380638. The cubic root of 5434440 is about 175.8132488808.

Adding to 5434440 its reverse (444345), we get a palindrome (5878785).

The spelling of 5434440 in words is "five million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 179 184 220 230 253 264 276 330 345 358 440 460 506 537 552 660 690 716 759 895 920 1012 1074 1265 1320 1380 1432 1518 1790 1969 2024 2148 2530 2685 2760 3036 3580 3795 3938 4117 4296 5060 5370 5907 6072 7160 7590 7876 8234 9845 10120 10740 11814 12351 15180 15752 16468 19690 20585 21480 23628 24702 29535 30360 32936 39380 41170 45287 47256 49404 59070 61755 78760 82340 90574 98808 118140 123510 135861 164680 181148 226435 236280 247020 271722 362296 452870 494040 543444 679305 905740 1086888 1358610 1811480 2717220 5434440