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97346368 = 2671971103
BaseRepresentation
bin1011100110101…
…10001101000000
320210011201010001
411303112031000
5144410040433
613354245344
72261300440
oct563261500
9223151101
1097346368
114aa49849
1228726854
1317224a02
14cd00120
15882d57d
hex5cd6340

97346368 has 56 divisors (see below), whose sum is σ = 222089472. Its totient is φ = 41470464.

The previous prime is 97346363. The next prime is 97346393. The reversal of 97346368 is 86364379.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97346363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87705 + ... + 88807.

Almost surely, 297346368 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 97346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111044736).

97346368 is an abundant number, since it is smaller than the sum of its proper divisors (124743104).

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

97346368 is a wasteful number, since it uses less digits than its factorization.

97346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 97346368 is about 9866.4263033785. The cubic root of 97346368 is about 460.0163321233.

The spelling of 97346368 in words is "ninety-seven million, three hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 394 448 788 1103 1379 1576 2206 2758 3152 4412 5516 6304 7721 8824 11032 12608 15442 17648 22064 30884 35296 44128 61768 70592 88256 123536 217291 247072 434582 494144 869164 1521037 1738328 3042074 3476656 6084148 6953312 12168296 13906624 24336592 48673184 97346368