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96343968 = 2537307467
BaseRepresentation
bin1011011111000…
…01011110100000
320201021210002010
411233201132200
5144131001333
613320552520
72246624130
oct557413640
9221253063
1096343968
114a424716
1228322740
1316c63686
14cb1cac0
1586d1563
hex5be17a0

96343968 has 96 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 27378432.

The previous prime is 96343963. The next prime is 96343979. The reversal of 96343968 is 86934369.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96343963) 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, 206071 + ... + 206537.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 296343968 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 96343968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

96343968 is an abundant number, since it is smaller than the sum of its proper divisors (194250336).

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

96343968 is a wasteful number, since it uses less digits than its factorization.

96343968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 96343968 is about 9815.4963195959. The cubic root of 96343968 is about 458.4319133263.

The spelling of 96343968 in words is "ninety-six million, three hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 307 336 467 614 672 921 934 1228 1401 1842 1868 2149 2456 2802 3269 3684 3736 4298 4912 5604 6447 6538 7368 7472 8596 9807 9824 11208 12894 13076 14736 14944 17192 19614 22416 25788 26152 29472 34384 39228 44832 51576 52304 68768 78456 103152 104608 143369 156912 206304 286738 313824 430107 573476 860214 1003583 1146952 1720428 2007166 2293904 3010749 3440856 4014332 4587808 6021498 6881712 8028664 12042996 13763424 16057328 24085992 32114656 48171984 96343968