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11342340 = 22325611033
BaseRepresentation
bin101011010001…
…001000000100
3210100020202200
4223101020010
510400423330
61043034500
7165260022
oct53211004
923306680
1011342340
116447739
12396ba30
132471859
141713712
15ee0a60
hexad1204

11342340 has 72 divisors (see below), whose sum is σ = 35002968. Its totient is φ = 2972160.

The previous prime is 11342329. The next prime is 11342347. The reversal of 11342340 is 4324311.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 10227204 = 1056^2 + 3198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11342347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10464 + ... + 11496.

Almost surely, 211342340 is an apocalyptic number.

11342340 is a gapful number since it is divisible by the number (10) 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 11342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501484).

11342340 is an abundant number, since it is smaller than the sum of its proper divisors (23660628).

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

11342340 is a wasteful number, since it uses less digits than its factorization.

11342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 11342340 is about 3367.8390697894. The cubic root of 11342340 is about 224.6816237825.

Adding to 11342340 its reverse (4324311), we get a palindrome (15666651).

It can be divided in two parts, 1 and 1342340, that added together give a triangular number (1342341 = T1638).

The spelling of 11342340 in words is "eleven million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1033 1098 1220 1830 2066 2196 2745 3099 3660 4132 5165 5490 6198 9297 10330 10980 12396 15495 18594 20660 30990 37188 46485 61980 63013 92970 126026 185940 189039 252052 315065 378078 567117 630130 756156 945195 1134234 1260260 1890390 2268468 2835585 3780780 5671170 11342340