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401303040 = 293552253
BaseRepresentation
bin10111111010110…
…110011000000000
31000222010022021120
4113322312120000
51310213144130
6103453152240
712642006465
oct2772663000
91028108246
10401303040
11196585a06
12b248b680
13651a9728
143b42366c
152536e910
hex17eb6600

401303040 has 80 divisors (see below), whose sum is σ = 1282940208. Its totient is φ = 107012096.

The previous prime is 401303027. The next prime is 401303051. The reversal of 401303040 is 40303104.

401303040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4013030402 = 322088259826483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18447 + ... + 33806.

Almost surely, 2401303040 is an apocalyptic number.

401303040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401303040 is an abundant number, since it is smaller than the sum of its proper divisors (881637168).

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

401303040 is an equidigital number, since it uses as much as digits as its factorization.

401303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52279 (or 52263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 401303040 is about 20032.5495132297. The cubic root of 401303040 is about 737.6055059246.

Adding to 401303040 its reverse (40303104), we get a palindrome (441606144).

The spelling of 401303040 in words is "four hundred one million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 52253 104506 156759 209012 261265 313518 418024 522530 627036 783795 836048 1045060 1254072 1567590 1672096 2090120 2508144 3135180 3344192 4180240 5016288 6270360 6688384 8360480 10032576 12540720 13376768 16720960 20065152 25081440 26753536 33441920 40130304 50162880 66883840 80260608 100325760 133767680 200651520 401303040