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99341968 = 2411223297
BaseRepresentation
bin1011110101111…
…01011010010000
320220221002120011
411322331122100
5200412420333
613505124304
72314251505
oct572753220
9226832504
1099341968
1151092100
1229329694
131777313b
14d29d4ac
158ac49cd
hex5ebd690

99341968 has 90 divisors (see below), whose sum is σ = 223441862. Its totient is φ = 42746880.

The previous prime is 99341959. The next prime is 99341987. The reversal of 99341968 is 86914399.

It can be written as a sum of positive squares in only one way, i.e., 82955664 + 16386304 = 9108^2 + 4048^2 .

It is a super-2 number, since 2×993419682 = 19737653212226048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1024096 + ... + 1024192.

Almost surely, 299341968 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 99341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720931).

99341968 is an abundant number, since it is smaller than the sum of its proper divisors (124099894).

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

99341968 is a wasteful number, since it uses less digits than its factorization.

99341968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 133 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 99341968 is about 9967.0440954177. The cubic root of 99341968 is about 463.1385373489.

The spelling of 99341968 in words is "ninety-nine million, three hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 97 121 176 184 194 242 253 368 388 484 506 529 776 968 1012 1058 1067 1552 1936 2024 2116 2134 2231 2783 4048 4232 4268 4462 5566 5819 8464 8536 8924 11132 11638 11737 17072 17848 22264 23276 23474 24541 35696 44528 46552 46948 49082 51313 64009 93104 93896 98164 102626 128018 187792 196328 205252 256036 269951 392656 410504 512072 539902 564443 821008 1024144 1079804 1128886 2159608 2257772 4319216 4515544 6208873 9031088 12417746 24835492 49670984 99341968