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397411920 = 2435520443
BaseRepresentation
bin10111101100000…
…000011001010000
31000200210121200000
4113230000121100
51303214140140
6103233530000
712563642223
oct2754003120
91020717600
10397411920
11194368504
12b1113900
13644465a9
143aacd5ba
1524d51a30
hex17b00650

397411920 has 120 divisors (see below), whose sum is σ = 1384140576. Its totient is φ = 105971328.

The previous prime is 397411919. The next prime is 397411933. The reversal of 397411920 is 29114793.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9219 + ... + 29661.

Almost surely, 2397411920 is an apocalyptic number.

397411920 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 397411920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692070288).

397411920 is an abundant number, since it is smaller than the sum of its proper divisors (986728656).

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

397411920 is a wasteful number, since it uses less digits than its factorization.

397411920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20471 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 397411920 is about 19935.1930013231. The cubic root of 397411920 is about 735.2137653949.

The spelling of 397411920 in words is "three hundred ninety-seven million, four hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 20443 40886 61329 81772 102215 122658 163544 183987 204430 245316 306645 327088 367974 408860 490632 551961 613290 735948 817720 919935 981264 1103922 1226580 1471896 1635440 1655883 1839870 2207844 2453160 2759805 2943792 3311766 3679740 4415688 4906320 4967649 5519610 6623532 7359480 8279415 8831376 9935298 11039220 13247064 14718960 16558830 19870596 22078440 24838245 26494128 33117660 39741192 44156880 49676490 66235320 79482384 99352980 132470640 198705960 397411920