Search a number
-
+
99343104 = 2837171087
BaseRepresentation
bin1011110101111…
…01101100000000
320220221011010020
411322331230000
5200412434404
613505133440
72314255020
oct572755400
9226834106
1099343104
1151092a43
122932a280
1317773803
14d29da80
158ac4ed9
hex5ebdb00

99343104 has 144 divisors (see below), whose sum is σ = 320237568. Its totient is φ = 26689536.

The previous prime is 99343103. The next prime is 99343157. The reversal of 99343104 is 40134399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99343103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90849 + ... + 91935.

It is an arithmetic number, because the mean of its divisors is an integer number (2223872).

Almost surely, 299343104 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 99343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160118784).

99343104 is an abundant number, since it is smaller than the sum of its proper divisors (220894464).

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

99343104 is a wasteful number, since it uses less digits than its factorization.

99343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 99343104 is about 9967.1010830632. The cubic root of 99343104 is about 463.1403027101.

The spelling of 99343104 in words is "ninety-nine million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1087 1088 1344 1428 1632 1792 1904 2174 2176 2688 2856 3261 3264 3808 4348 4352 5376 5712 6522 6528 7609 7616 8696 11424 13044 13056 15218 15232 17392 18479 22827 22848 26088 30436 30464 34784 36958 45654 45696 52176 55437 60872 69568 73916 91308 91392 104352 110874 121744 129353 139136 147832 182616 208704 221748 243488 258706 278272 295664 365232 388059 417408 443496 486976 517412 591328 730464 776118 834816 886992 973952 1034824 1182656 1460928 1552236 1773984 1947904 2069648 2365312 2921856 3104472 3547968 4139296 4730624 5843712 6208944 7095936 8278592 12417888 14191872 16557184 24835776 33114368 49671552 99343104