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397434384 = 24333159503
BaseRepresentation
bin10111101100000…
…101111000010000
31000200211202111000
4113230011320100
51303220400014
6103234222000
712564064554
oct2754057020
91020752430
10397434384
11194383376
12b1124900
1364453899
143aad7864
1524d58509
hex17b05e10

397434384 has 160 divisors (see below), whose sum is σ = 1199923200. Its totient is φ = 125781120.

The previous prime is 397434379. The next prime is 397434403. The reversal of 397434384 is 483434793.

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 31 ways as a sum of consecutive naturals, for example, 789877 + ... + 790379.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2397434384 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 397434384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

397434384 is an abundant number, since it is smaller than the sum of its proper divisors (802488816).

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

397434384 is a wasteful number, since it uses less digits than its factorization.

397434384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 397434384 is about 19935.7564190577. The cubic root of 397434384 is about 735.2276179662.

The spelling of 397434384 in words is "three hundred ninety-seven million, four hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 59 62 72 93 108 118 124 144 177 186 216 236 248 279 354 372 432 472 496 503 531 558 708 744 837 944 1006 1062 1116 1416 1488 1509 1593 1674 1829 2012 2124 2232 2832 3018 3186 3348 3658 4024 4248 4464 4527 5487 6036 6372 6696 7316 8048 8496 9054 10974 12072 12744 13392 13581 14632 15593 16461 18108 21948 24144 25488 27162 29264 29677 31186 32922 36216 43896 46779 49383 54324 59354 62372 65844 72432 87792 89031 93558 98766 108648 118708 124744 131688 140337 178062 187116 197532 217296 237416 249488 263376 267093 280674 356124 374232 395064 421011 474832 534186 561348 712248 748464 790128 801279 842022 919987 1068372 1122696 1424496 1602558 1684044 1839974 2136744 2245392 2759961 3205116 3368088 3679948 4273488 5519922 6410232 6736176 7359896 8279883 11039844 12820464 14719792 16559766 22079688 24839649 33119532 44159376 49679298 66239064 99358596 132478128 198717192 397434384