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404414620 = 225193473067
BaseRepresentation
bin11000000110101…
…110000010011100
31001011222101120021
4120012232002130
51312012231440
6104044001524
713010316241
oct3006560234
91034871507
10404414620
11198310765
12b35302a4
1365a28abc
143b9d35c8
152578684a
hex181ae09c

404414620 has 48 divisors (see below), whose sum is σ = 896837760. Its totient is φ = 152760384.

The previous prime is 404414579. The next prime is 404414653. The reversal of 404414620 is 26414404.

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, 130327 + ... + 133393.

It is an arithmetic number, because the mean of its divisors is an integer number (18684120).

Almost surely, 2404414620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404414620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448418880).

404414620 is an abundant number, since it is smaller than the sum of its proper divisors (492423140).

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

404414620 is a wasteful number, since it uses less digits than its factorization.

404414620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 404414620 is about 20110.0626552977. The cubic root of 404414620 is about 739.5069883891.

The spelling of 404414620 in words is "four hundred four million, four hundred fourteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 347 380 694 1388 1735 3067 3470 6134 6593 6940 12268 13186 15335 26372 30670 32965 58273 61340 65930 116546 131860 233092 291365 582730 1064249 1165460 2128498 4256996 5321245 10642490 20220731 21284980 40441462 80882924 101103655 202207310 404414620