Search a number
-
+
99340032 = 2831121069
BaseRepresentation
bin1011110101111…
…00111100000000
320220220222220110
411322330330000
5200412340112
613505111320
72314243041
oct572747400
9226828813
1099340032
1151090700
1229328540
13177722ac
14d29c8c8
158ac413c
hex5ebcf00

99340032 has 108 divisors (see below), whose sum is σ = 290881640. Its totient is φ = 30074880.

The previous prime is 99339997. The next prime is 99340039. The reversal of 99340032 is 23004399.

It is a super-2 number, since 2×993400322 = 19736883915522048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99340039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92394 + ... + 93462.

Almost surely, 299340032 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 99340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145440820).

99340032 is an abundant number, since it is smaller than the sum of its proper divisors (191541608).

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

99340032 is a wasteful number, since it uses less digits than its factorization.

99340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 99340032 is about 9966.9469748765. The cubic root of 99340032 is about 463.1355287445.

The spelling of 99340032 in words is "ninety-nine million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1069 1408 1452 1936 2112 2138 2816 2904 3207 3872 4224 4276 5808 6414 7744 8448 8552 11616 11759 12828 15488 17104 23232 23518 25656 30976 34208 35277 46464 47036 51312 68416 70554 92928 94072 102624 129349 136832 141108 188144 205248 258698 273664 282216 376288 388047 410496 517396 564432 752576 776094 820992 1034792 1128864 1505152 1552188 2069584 2257728 3010304 3104376 4139168 4515456 6208752 8278336 9030912 12417504 16556672 24835008 33113344 49670016 99340032