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397440 = 2733523
BaseRepresentation
bin1100001000010000000
3202012012000
41201002000
5100204230
612304000
73243501
oct1410200
9665160
10397440
1125166a
12172000
1310bb94
14a4ba8
157cb60
hex61080

397440 has 128 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 101376.

The previous prime is 397433. The next prime is 397459. The reversal of 397440 is 44793.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

397440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17269 + ... + 17291.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2397440 is an apocalyptic number.

397440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

397440 is an abundant number, since it is smaller than the sum of its proper divisors (1071360).

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

397440 is a wasteful number, since it uses less digits than its factorization.

397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 397440 is about 630.4284257551. The cubic root of 397440 is about 73.5231081027.

The spelling of 397440 in words is "three hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 90 92 96 108 115 120 128 135 138 144 160 180 184 192 207 216 230 240 270 276 288 320 345 360 368 384 414 432 460 480 540 552 576 621 640 690 720 736 828 864 920 960 1035 1080 1104 1152 1242 1380 1440 1472 1656 1728 1840 1920 2070 2160 2208 2484 2760 2880 2944 3105 3312 3456 3680 4140 4320 4416 4968 5520 5760 6210 6624 7360 8280 8640 8832 9936 11040 12420 13248 14720 16560 17280 19872 22080 24840 26496 33120 39744 44160 49680 66240 79488 99360 132480 198720 397440