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404413240 = 235711131303
BaseRepresentation
bin11000000110101…
…101101100111000
31001011222022200011
4120012231230320
51312012210430
6104043551304
713010312230
oct3006555470
91034868604
10404413240
1119830a720
12b352b534
1365a2829a
143b9d2cc0
152578622a
hex181adb38

404413240 has 64 divisors (see below), whose sum is σ = 1134466560. Its totient is φ = 126049920.

The previous prime is 404413213. The next prime is 404413253. The reversal of 404413240 is 42314404.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62572 + ... + 68731.

It is an arithmetic number, because the mean of its divisors is an integer number (17726040).

Almost surely, 2404413240 is an apocalyptic number.

404413240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404413240 is an abundant number, since it is smaller than the sum of its proper divisors (730053320).

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

404413240 is a wasteful number, since it uses less digits than its factorization.

404413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131332 (or 131328 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 404413240 is about 20110.0283440874. The cubic root of 404413240 is about 739.5061472385.

Adding to 404413240 its reverse (42314404), we get a palindrome (446727644).

It can be divided in two parts, 40441 and 3240, that added together give a square (43681 = 2092).

The spelling of 404413240 in words is "four hundred four million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 131303 262606 525212 656515 919121 1050424 1313030 1444333 1838242 2626060 2888666 3676484 4595605 5252120 5777332 7221665 7352968 9191210 10110331 11554664 14443330 18382420 20220662 28886660 36764840 40441324 50551655 57773320 80882648 101103310 202206620 404413240