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97341504 = 2631359661
BaseRepresentation
bin1011100110101…
…01000001000000
320210011110102220
411303111001000
5144404412004
613354211040
72261250321
oct563250100
9223143386
1097341504
114aa46127
1228723a80
1317222730
14ccdc448
15882bdd9
hex5cd5040

97341504 has 112 divisors (see below), whose sum is σ = 282488640. Its totient is φ = 29399040.

The previous prime is 97341499. The next prime is 97341511. The reversal of 97341504 is 40514379.

It is a super-3 number, since 3×973415043 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146934 + ... + 147594.

It is an arithmetic number, because the mean of its divisors is an integer number (2522220).

Almost surely, 297341504 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 97341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141244320).

97341504 is an abundant number, since it is smaller than the sum of its proper divisors (185147136).

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

97341504 is a wasteful number, since it uses less digits than its factorization.

97341504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 97341504 is about 9866.1798078081. The cubic root of 97341504 is about 460.0086702840.

The spelling of 97341504 in words is "ninety-seven million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 118 156 177 192 208 236 312 354 416 472 624 661 708 767 832 944 1248 1322 1416 1534 1888 1983 2301 2496 2644 2832 3068 3776 3966 4602 5288 5664 6136 7932 8593 9204 10576 11328 12272 15864 17186 18408 21152 24544 25779 31728 34372 36816 38999 42304 49088 51558 63456 68744 73632 77998 103116 116997 126912 137488 147264 155996 206232 233994 274976 311992 412464 467988 506987 549952 623984 824928 935976 1013974 1247968 1520961 1649856 1871952 2027948 2495936 3041922 3743904 4055896 6083844 7487808 8111792 12167688 16223584 24335376 32447168 48670752 97341504