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40346220 = 22351494513
BaseRepresentation
bin1001100111101…
…0001001101100
32210220210121110
42121322021230
540312034340
64000432020
7666636315
oct231721154
983823543
1040346220
1120857792
1211618610
138488305
14550360c
15381e680
hex267a26c

40346220 has 48 divisors (see below), whose sum is σ = 113752800. Its totient is φ = 10684416.

The previous prime is 40346213. The next prime is 40346227. The reversal of 40346220 is 2264304.

40346220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40346213) and next prime (40346227).

It is not an unprimeable number, because it can be changed into a prime (40346227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6684 + ... + 11196.

It is an arithmetic number, because the mean of its divisors is an integer number (2369850).

Almost surely, 240346220 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 40346220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56876400).

40346220 is an abundant number, since it is smaller than the sum of its proper divisors (73406580).

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

40346220 is a wasteful number, since it uses less digits than its factorization.

40346220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40346220 is about 6351.8674419418. The cubic root of 40346220 is about 342.9790692348.

The spelling of 40346220 in words is "forty million, three hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 4513 8940 9026 13539 18052 22565 27078 45130 54156 67695 90260 135390 270780 672437 1344874 2017311 2689748 3362185 4034622 6724370 8069244 10086555 13448740 20173110 40346220