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97340992 = 2673143163
BaseRepresentation
bin1011100110101…
…00111001000000
320210011102201221
411303110321000
5144404402432
613354204424
72261245660
oct563247100
9223142657
1097340992
114aa45801
1228723714
1317222428
14ccdc1a0
15882bb97
hex5cd4e40

97340992 has 112 divisors (see below), whose sum is σ = 234606592. Its totient is φ = 39191040.

The previous prime is 97340987. The next prime is 97340993. The reversal of 97340992 is 29904379.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (97340993) 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, 597103 + ... + 597265.

Almost surely, 297340992 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 97340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117303296).

97340992 is an abundant number, since it is smaller than the sum of its proper divisors (137265600).

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

97340992 is a wasteful number, since it uses less digits than its factorization.

97340992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 97340992 is about 9866.1538605477. The cubic root of 97340992 is about 460.0078637597.

The spelling of 97340992 in words is "ninety-seven million, three hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 64 86 112 124 163 172 217 224 248 301 326 344 434 448 496 602 652 688 868 992 1141 1204 1304 1333 1376 1736 1984 2282 2408 2608 2666 2752 3472 4564 4816 5053 5216 5332 6944 7009 9128 9331 9632 10106 10432 10664 13888 14018 18256 18662 19264 20212 21328 28036 35371 36512 37324 40424 42656 49063 56072 70742 73024 74648 80848 85312 98126 112144 141484 149296 161696 196252 217279 224288 282968 298592 323392 392504 434558 448576 565936 597184 785008 869116 1131872 1520953 1570016 1738232 2263744 3041906 3140032 3476464 6083812 6952928 12167624 13905856 24335248 48670496 97340992