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534204840 = 233513443773
BaseRepresentation
bin11111110101110…
…101000110101000
31101020012102021110
4133311311012220
52043224023330
6125001510320
716144444341
oct3765650650
91336172243
10534204840
112545aa004
1212aaa23a0
138689cc50
1450d3b0c8
1531d72db0
hex1fd751a8

534204840 has 128 divisors (see below), whose sum is σ = 1732026240. Its totient is φ = 131030016.

The previous prime is 534204829. The next prime is 534204851. The reversal of 534204840 is 48402435.

It is an interprime number because it is at equal distance from previous prime (534204829) and next prime (534204851).

It is a super-2 number, since 2×5342048402 = 570749622158851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 534204798 and 534204807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690694 + ... + 691466.

It is an arithmetic number, because the mean of its divisors is an integer number (13531455).

Almost surely, 2534204840 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 534204840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866013120).

534204840 is an abundant number, since it is smaller than the sum of its proper divisors (1197821400).

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

534204840 is a wasteful number, since it uses less digits than its factorization.

534204840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 534204840 is about 23112.8717384924. The cubic root of 534204840 is about 811.4017489906.

The spelling of 534204840 in words is "five hundred thirty-four million, two hundred four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 443 520 773 780 886 1329 1546 1560 1772 2215 2319 2658 3092 3544 3865 4430 4638 5316 5759 6184 6645 7730 8860 9276 10049 10632 11518 11595 13290 15460 17277 17720 18552 20098 23036 23190 26580 28795 30147 30920 34554 40196 46072 46380 50245 53160 57590 60294 69108 80392 86385 92760 100490 115180 120588 138216 150735 172770 200980 230360 241176 301470 342439 345540 401960 602940 684878 691080 1027317 1205880 1369756 1712195 2054634 2739512 3424390 4109268 4451707 5136585 6848780 8218536 8903414 10273170 13355121 13697560 17806828 20546340 22258535 26710242 35613656 41092680 44517070 53420484 66775605 89034140 106840968 133551210 178068280 267102420 534204840