Search a number
-
+
266084352 = 21334401
BaseRepresentation
bin11111101110000…
…10000000000000
3200112200111010000
433313002000000
51021104144402
642223040000
76410452062
oct1767020000
9615614100
10266084352
1112721a126
1275140000
1343184781
14274a5732
151855ec1c
hexfdc2000

266084352 has 140 divisors (see below), whose sum is σ = 796901886. Its totient is φ = 88473600.

The previous prime is 266084339. The next prime is 266084363. The reversal of 266084352 is 253480662.

266084352 is a `hidden beast` number, since 2 + 6 + 608 + 43 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146313216 + 119771136 = 12096^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663352 + ... + 663752.

Almost surely, 2266084352 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 266084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398450943).

266084352 is an abundant number, since it is smaller than the sum of its proper divisors (530817534).

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

266084352 is an frugal number, since it uses more digits than its factorization.

266084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 266084352 is about 16312.0922017993. The cubic root of 266084352 is about 643.1907327691.

The spelling of 266084352 in words is "two hundred sixty-six million, eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 401 432 512 576 648 768 802 864 1024 1152 1203 1296 1536 1604 1728 2048 2304 2406 2592 3072 3208 3456 3609 4096 4608 4812 5184 6144 6416 6912 7218 8192 9216 9624 10368 10827 12288 12832 13824 14436 18432 19248 20736 21654 24576 25664 27648 28872 32481 36864 38496 41472 43308 51328 55296 57744 64962 73728 76992 82944 86616 102656 110592 115488 129924 153984 165888 173232 205312 221184 230976 259848 307968 331776 346464 410624 461952 519696 615936 663552 692928 821248 923904 1039392 1231872 1385856 1642496 1847808 2078784 2463744 2771712 3284992 3695616 4157568 4927488 5543424 7391232 8315136 9854976 11086848 14782464 16630272 22173696 29564928 33260544 44347392 66521088 88694784 133042176 266084352