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412245320 = 235611071579
BaseRepresentation
bin11000100100100…
…101110101001000
31001201201020021012
4120210211311020
51321013322240
6104523503052
713134012254
oct3044456510
91051636235
10412245320
111a177a013
12b6087a88
136753b156
143ca71264
15262d1b65
hex18925d48

412245320 has 64 divisors (see below), whose sum is σ = 952171200. Its totient is φ = 160577280.

The previous prime is 412245311. The next prime is 412245329. The reversal of 412245320 is 23542214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412245311) and next prime (412245329).

It is not an unprimeable number, because it can be changed into a prime (412245329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260291 + ... + 261869.

It is an arithmetic number, because the mean of its divisors is an integer number (14877675).

Almost surely, 2412245320 is an apocalyptic number.

412245320 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 412245320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476085600).

412245320 is an abundant number, since it is smaller than the sum of its proper divisors (539925880).

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

412245320 is a wasteful number, since it uses less digits than its factorization.

412245320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 412245320 is about 20303.8252553552. The cubic root of 412245320 is about 744.2495453421.

Adding to 412245320 its reverse (23542214), we get a palindrome (435787534).

The spelling of 412245320 in words is "four hundred twelve million, two hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 107 122 214 244 305 428 488 535 610 856 1070 1220 1579 2140 2440 3158 4280 6316 6527 7895 12632 13054 15790 26108 31580 32635 52216 63160 65270 96319 130540 168953 192638 261080 337906 385276 481595 675812 770552 844765 963190 1351624 1689530 1926380 3379060 3852760 6758120 10306133 20612266 41224532 51530665 82449064 103061330 206122660 412245320