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5434000 = 2453111319
BaseRepresentation
bin10100101110101010010000
3101020002001021
4110232222100
52342342000
6312245224
764121365
oct24565220
911202037
105434000
113081710
1219a0814
1311834b0
14a1646c
1572511a
hex52ea90

5434000 has 160 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1728000.

The previous prime is 5433997. The next prime is 5434001. The reversal of 5434000 is 4345.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434001) 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, 285991 + ... + 286009.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 25434000 is an apocalyptic number.

5434000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

5434000 is an abundant number, since it is smaller than the sum of its proper divisors (10814960).

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

5434000 is a wasteful number, since it uses less digits than its factorization.

5434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 5434000 is about 2331.0941636922. The cubic root of 5434000 is about 175.8085038401.

Adding to 5434000 its reverse (4345), we get a palindrome (5438345).

The spelling of 5434000 in words is "five million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 13 16 19 20 22 25 26 38 40 44 50 52 55 65 76 80 88 95 100 104 110 125 130 143 152 176 190 200 208 209 220 247 250 260 275 286 304 325 380 400 418 440 475 494 500 520 550 572 650 715 760 836 880 950 988 1000 1040 1045 1100 1144 1235 1300 1375 1430 1520 1625 1672 1900 1976 2000 2090 2200 2288 2375 2470 2600 2717 2750 2860 3250 3344 3575 3800 3952 4180 4400 4750 4940 5200 5225 5434 5500 5720 6175 6500 7150 7600 8360 9500 9880 10450 10868 11000 11440 12350 13000 13585 14300 16720 17875 19000 19760 20900 21736 22000 24700 26000 26125 27170 28600 30875 35750 38000 41800 43472 49400 52250 54340 57200 61750 67925 71500 83600 98800 104500 108680 123500 135850 143000 209000 217360 247000 271700 286000 339625 418000 494000 543400 679250 1086800 1358500 2717000 5434000