[go: up one dir, main page]

Search a number
-
+
246413340 = 22345374111
BaseRepresentation
bin11101010111111…
…11100000011100
3122011200002120000
432223333200130
51001040211330
640241254300
76051323145
oct1653774034
9564602500
10246413340
11117103a98
126a634390
133c088014
1424a24acc
1516976560
hexeaff81c

246413340 has 120 divisors (see below), whose sum is σ = 794092992. Its totient is φ = 63918720.

The previous prime is 246413333. The next prime is 246413347. The reversal of 246413340 is 43314642.

246413340 is a `hidden beast` number, since 246 + 413 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (246413333) and next prime (246413347).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246413347) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 57885 + ... + 61995.

Almost surely, 2246413340 is an apocalyptic number.

246413340 is a gapful number since it is divisible by the number (20) 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 246413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397046496).

246413340 is an abundant number, since it is smaller than the sum of its proper divisors (547679652).

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

246413340 is a wasteful number, since it uses less digits than its factorization.

246413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 246413340 is about 15697.5584088737. The cubic root of 246413340 is about 626.9333964645.

Adding to 246413340 its reverse (43314642), we get a palindrome (289727982).

It can be divided in two parts, 246413 and 340, that added together give a triangular number (246753 = T702).

The spelling of 246413340 in words is "two hundred forty-six million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4111 4995 5994 6660 8222 9990 11988 12333 14985 16444 19980 20555 24666 29970 36999 41110 49332 59940 61665 73998 82220 110997 123330 147996 152107 184995 221994 246660 304214 332991 369990 443988 456321 554985 608428 665982 739980 760535 912642 1109970 1331964 1368963 1521070 1664955 1825284 2219940 2281605 2737926 3042140 3329910 4106889 4563210 5475852 6659820 6844815 8213778 9126420 12320667 13689630 16427556 20534445 24641334 27379260 41068890 49282668 61603335 82137780 123206670 246413340