Search a number
-
+
2342711040 = 2835610081
BaseRepresentation
bin1000101110100010…
…1110111100000000
320001021020001101120
42023220232330000
514244213223130
61024244232240
7112024500225
oct21350567400
96037201346
102342711040
11aa244352a
1255469b680
132b447a967
141831c994c
15daa0b910
hex8ba2ef00

2342711040 has 72 divisors (see below), whose sum is σ = 7482045648. Its totient is φ = 624721920.

The previous prime is 2342711029. The next prime is 2342711071. The reversal of 2342711040 is 401172432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2342711040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301201 + ... + 308880.

Almost surely, 22342711040 is an apocalyptic number.

2342711040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342711040 is an abundant number, since it is smaller than the sum of its proper divisors (5139334608).

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

2342711040 is an equidigital number, since it uses as much as digits as its factorization.

2342711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610105 (or 610091 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2342711040 is about 48401.5603054282. The cubic root of 2342711040 is about 1328.1269051802.

Adding to 2342711040 its reverse (401172432), we get a palindrome (2743883472).

The spelling of 2342711040 in words is "two billion, three hundred forty-two million, seven hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 610081 1220162 1830243 2440324 3050405 3660486 4880648 6100810 7320972 9151215 9761296 12201620 14641944 18302430 19522592 24403240 29283888 36604860 39045184 48806480 58567776 73209720 78090368 97612960 117135552 146419440 156180736 195225920 234271104 292838880 390451840 468542208 585677760 780903680 1171355520 2342711040