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404070440 = 235232931499
BaseRepresentation
bin11000000101011…
…010000000101000
31001011022220102212
4120011122000220
51311420223230
6104032344252
713004353634
oct3005320050
91034286385
10404070440
111980a6114
12b33a5088
1365938247
143b943dc4
1525719895
hex1815a028

404070440 has 64 divisors (see below), whose sum is σ = 952560000. Its totient is φ = 153970432.

The previous prime is 404070437. The next prime is 404070479. The reversal of 404070440 is 44070404.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 268811 + ... + 270309.

It is an arithmetic number, because the mean of its divisors is an integer number (14883750).

Almost surely, 2404070440 is an apocalyptic number.

404070440 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 404070440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280000).

404070440 is an abundant number, since it is smaller than the sum of its proper divisors (548489560).

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

404070440 is a wasteful number, since it uses less digits than its factorization.

404070440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 404070440 is about 20101.5034263609. The cubic root of 404070440 is about 739.2971412491.

It can be divided in two parts, 40 and 4070440, that multiplied together give a square (162817600 = 127602).

The spelling of 404070440 in words is "four hundred four million, seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 293 460 586 920 1172 1465 1499 2344 2930 2998 5860 5996 6739 7495 11720 11992 13478 14990 26956 29980 33695 34477 53912 59960 67390 68954 134780 137908 172385 269560 275816 344770 439207 689540 878414 1379080 1756828 2196035 3513656 4392070 8784140 10101761 17568280 20203522 40407044 50508805 80814088 101017610 202035220 404070440