Search a number
-
+
414240340 = 225131223709
BaseRepresentation
bin11000101100001…
…100111001010100
31001212110120220211
4120230030321110
51322021142330
6105034335204
713156661533
oct3054147124
91055416824
10414240340
111a2911998
12b688a504
1367a89237
143d03031a
1526577d2a
hex18b0ce54

414240340 has 48 divisors (see below), whose sum is σ = 881717760. Its totient is φ = 163463040.

The previous prime is 414240329. The next prime is 414240347. The reversal of 414240340 is 43042414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414240347) 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, 583906 + ... + 584614.

It is an arithmetic number, because the mean of its divisors is an integer number (18369120).

Almost surely, 2414240340 is an apocalyptic number.

It is an amenable number.

414240340 is an abundant number, since it is smaller than the sum of its proper divisors (467477420).

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

414240340 is a wasteful number, since it uses less digits than its factorization.

414240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 414240340 is about 20352.8951257555. The cubic root of 414240340 is about 745.4481875956.

Adding to 414240340 its reverse (43042414), we get a palindrome (457282754).

The spelling of 414240340 in words is "four hundred fourteen million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 131 223 262 446 524 655 709 892 1115 1310 1418 2230 2620 2836 3545 4460 7090 14180 29213 58426 92879 116852 146065 158107 185758 292130 316214 371516 464395 584260 632428 790535 928790 1581070 1857580 3162140 20712017 41424034 82848068 103560085 207120170 414240340