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401431240 = 235719611237
BaseRepresentation
bin10111111011010…
…101101011001000
31000222100211010201
4113323111223020
51310231244430
6103500021544
712643052320
oct2773255310
91028324121
10401431240
11196663261
12b25318b4
1365222ba2
143b458280
15253978ca
hex17ed5ac8

401431240 has 128 divisors (see below), whose sum is σ = 1105286400. Its totient is φ = 128148480.

The previous prime is 401431223. The next prime is 401431271. The reversal of 401431240 is 42134104.

It is a super-2 number, since 2×4014312402 = 322294080895875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323902 + ... + 325138.

It is an arithmetic number, because the mean of its divisors is an integer number (8635050).

Almost surely, 2401431240 is an apocalyptic number.

401431240 is a gapful number since it is divisible by the number (40) 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 401431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552643200).

401431240 is an abundant number, since it is smaller than the sum of its proper divisors (703855160).

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

401431240 is a wasteful number, since it uses less digits than its factorization.

401431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 401431240 is about 20035.7490501354. The cubic root of 401431240 is about 737.6840425488.

Adding to 401431240 its reverse (42134104), we get a palindrome (443565344).

The spelling of 401431240 in words is "four hundred one million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 61 70 76 95 122 133 140 152 190 244 266 280 305 380 427 488 532 610 665 760 854 1064 1159 1220 1237 1330 1708 2135 2318 2440 2474 2660 3416 4270 4636 4948 5320 5795 6185 8113 8540 8659 9272 9896 11590 12370 16226 17080 17318 23180 23503 24740 32452 34636 40565 43295 46360 47006 49480 64904 69272 75457 81130 86590 94012 117515 150914 162260 164521 173180 188024 235030 301828 324520 329042 346360 377285 470060 528199 603656 658084 754570 822605 940120 1056398 1316168 1433683 1509140 1645210 2112796 2640995 2867366 3018280 3290420 4225592 5281990 5734732 6580840 7168415 10035781 10563980 11469464 14336830 20071562 21127960 28673660 40143124 50178905 57347320 80286248 100357810 200715620 401431240