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397941320 = 235719131571
BaseRepresentation
bin10111101110000…
…001101001001000
31000201210111212102
4113232001221020
51303333110240
6103253132532
712601305530
oct2756015110
91021714772
10397941320
1119469a227
12b132a148
13645a054a
143abca4c0
1524e08815
hex17b81a48

397941320 has 128 divisors (see below), whose sum is σ = 1087257600. Its totient is φ = 128044800.

The previous prime is 397941311. The next prime is 397941329. The reversal of 397941320 is 23149793.

It is an interprime number because it is at equal distance from previous prime (397941311) and next prime (397941329).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (397941329) by changing a digit.

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, 696635 + ... + 697205.

It is an arithmetic number, because the mean of its divisors is an integer number (8494200).

Almost surely, 2397941320 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 397941320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543628800).

397941320 is an abundant number, since it is smaller than the sum of its proper divisors (689316280).

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

397941320 is a wasteful number, since it uses less digits than its factorization.

397941320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 397941320 is about 19948.4666077370. The cubic root of 397941320 is about 735.5400846332.

It can be divided in two parts, 39794 and 1320, that added together give a palindrome (41114).

The spelling of 397941320 in words is "three hundred ninety-seven million, nine hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 131 133 140 152 190 262 266 280 380 524 532 571 655 665 760 917 1048 1064 1142 1310 1330 1834 2284 2489 2620 2660 2855 3668 3997 4568 4585 4978 5240 5320 5710 7336 7994 9170 9956 10849 11420 12445 15988 17423 18340 19912 19985 21698 22840 24890 31976 34846 36680 39970 43396 49780 54245 69692 74801 75943 79940 86792 87115 99560 108490 139384 149602 151886 159880 174230 216980 299204 303772 348460 374005 379715 433960 523607 598408 607544 696920 748010 759430 1047214 1421219 1496020 1518860 2094428 2618035 2842438 2992040 3037720 4188856 5236070 5684876 7106095 9948533 10472140 11369752 14212190 19897066 20944280 28424380 39794132 49742665 56848760 79588264 99485330 198970660 397941320