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534719376 = 2432412472
BaseRepresentation
bin11111110111110…
…010101110010000
31101021011120002100
4133313302232100
52043342010001
6125020520400
716152016422
oct3767625620
91337146070
10534719376
11254920644
1212b0b0100
1386a201c9
1451032812
1531e25586
hex1fdf2b90

534719376 has 135 divisors (see below), whose sum is σ = 1567190833. Its totient is φ = 170192640.

The previous prime is 534719369. The next prime is 534719401. The reversal of 534719376 is 673917435.

The square root of 534719376 is 23124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25765776 + 508953600 = 5076^2 + 22560^2 .

It is a super-2 number, since 2×5347193762 = 571849622139658752, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11376985 + ... + 11377031.

Almost surely, 2534719376 is an apocalyptic number.

534719376 is the 23124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534719376

534719376 is an abundant number, since it is smaller than the sum of its proper divisors (1032471457).

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

534719376 is a wasteful number, since it uses less digits than its factorization.

534719376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The cubic root of 534719376 is about 811.6621743365.

It can be divided in two parts, 534719 and 376, that added together give a triangular number (535095 = T1034).

The spelling of 534719376 in words is "five hundred thirty-four million, seven hundred nineteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 47 48 72 82 94 123 141 144 164 188 246 282 328 369 376 423 492 564 656 738 752 846 984 1128 1476 1681 1692 1927 1968 2209 2256 2952 3362 3384 3854 4418 5043 5781 5904 6627 6724 6768 7708 8836 10086 11562 13254 13448 15129 15416 17343 17672 19881 20172 23124 26508 26896 30258 30832 34686 35344 39762 40344 46248 53016 60516 69372 79007 79524 80688 90569 92496 106032 121032 138744 158014 159048 181138 237021 242064 271707 277488 316028 318096 362276 474042 543414 632056 711063 724552 815121 948084 1086828 1264112 1422126 1449104 1630242 1896168 2173656 2844252 3260484 3713329 3792336 4347312 5688504 6520968 7426658 11139987 11377008 13041936 14853316 22279974 29706632 33419961 44559948 59413264 66839922 89119896 133679844 178239792 267359688 534719376