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397072896 = 2931171331
BaseRepresentation
bin10111101010101…
…101101000000000
31000200011101121120
4113222231220000
51303122313041
6103222352240
712561030633
oct2752555000
91020141546
10397072896
11194156820
12b0b8b680
136435819c
143aa41c1a
1524cd6366
hex17aada00

397072896 has 160 divisors (see below), whose sum is σ = 1173782016. Its totient is φ = 118272000.

The previous prime is 397072853. The next prime is 397072903. The reversal of 397072896 is 698270793.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199451 + ... + 1199781.

Almost surely, 2397072896 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 397072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586891008).

397072896 is an abundant number, since it is smaller than the sum of its proper divisors (776709120).

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

397072896 is a wasteful number, since it uses less digits than its factorization.

397072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 397072896 is about 19926.6880338906. The cubic root of 397072896 is about 735.0046406297.

The spelling of 397072896 in words is "three hundred ninety-seven million, seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 128 132 142 176 192 213 256 264 284 331 352 384 426 512 528 568 662 704 768 781 852 993 1056 1136 1324 1408 1536 1562 1704 1986 2112 2272 2343 2648 2816 3124 3408 3641 3972 4224 4544 4686 5296 5632 6248 6816 7282 7944 8448 9088 9372 10592 10923 12496 13632 14564 15888 16896 18176 18744 21184 21846 23501 24992 27264 29128 31776 36352 37488 42368 43692 47002 49984 54528 58256 63552 70503 74976 84736 87384 94004 99968 109056 116512 127104 141006 149952 169472 174768 188008 199936 233024 254208 258511 282012 299904 349536 376016 399872 466048 508416 517022 564024 599808 699072 752032 775533 932096 1034044 1128048 1199616 1398144 1504064 1551066 1864192 2068088 2256096 2796288 3008128 3102132 4136176 4512192 5592576 6016256 6204264 8272352 9024384 12032512 12408528 16544704 18048768 24817056 33089408 36097536 49634112 66178816 99268224 132357632 198536448 397072896