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404354940 = 223511718629
BaseRepresentation
bin11000000110011…
…111011101111100
31001011212100200220
4120012133131330
51312003324230
6104042421340
713006650243
oct3006373574
91034770626
10404354940
1119827a940
12b3501850
1365a078a2
143b9b995a
1525773d10
hex1819f77c

404354940 has 96 divisors (see below), whose sum is σ = 1252661760. Its totient is φ = 96633600.

The previous prime is 404354939. The next prime is 404354953. The reversal of 404354940 is 49453404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 42546 + ... + 51174.

It is an arithmetic number, because the mean of its divisors is an integer number (13048560).

Almost surely, 2404354940 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 404354940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626330880).

404354940 is an abundant number, since it is smaller than the sum of its proper divisors (848306820).

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

404354940 is a wasteful number, since it uses less digits than its factorization.

404354940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 404354940 is about 20108.5787662878. The cubic root of 404354940 is about 739.4706099250.

The spelling of 404354940 in words is "four hundred four million, three hundred fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 8629 9372 11715 15620 17258 23430 25887 34516 43145 46860 51774 86290 94919 103548 129435 172580 189838 258870 284757 379676 474595 517740 569514 612659 949190 1139028 1225318 1423785 1837977 1898380 2450636 2847570 3063295 3675954 5695140 6126590 6739249 7351908 9189885 12253180 13478498 18379770 20217747 26956996 33696245 36759540 40435494 67392490 80870988 101088735 134784980 202177470 404354940