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2333140340 = 2251989149463
BaseRepresentation
bin1000101100010000…
…1110010101110100
320000121012210212012
42023010032111310
514234240442330
61023303143352
7111550236266
oct21304162564
96017183765
102333140340
11a97aa6963
12551444b58
132b24a961b
14181c17b36
15d9c6ac95
hex8b10e574

2333140340 has 96 divisors (see below), whose sum is σ = 5261760000. Its totient is φ = 866460672.

The previous prime is 2333140331. The next prime is 2333140343. The reversal of 2333140340 is 430413332.

2333140340 = 50762 + 50772 + ... + 51642.

It is a super-2 number, since 2×23331403402 = 10887087692270631200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2333140343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5038949 + ... + 5039411.

It is an arithmetic number, because the mean of its divisors is an integer number (54810000).

Almost surely, 22333140340 is an apocalyptic number.

2333140340 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 2333140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630880000).

2333140340 is an abundant number, since it is smaller than the sum of its proper divisors (2928619660).

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

2333140340 is a wasteful number, since it uses less digits than its factorization.

2333140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 2333140340 is about 48302.5914418678. The cubic root of 2333140340 is about 1326.3158334565.

Adding to 2333140340 its reverse (430413332), we get a palindrome (2763553672).

The spelling of 2333140340 in words is "two billion, three hundred thirty-three million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 149 178 190 298 356 380 445 463 596 745 890 926 1490 1691 1780 1852 2315 2831 2980 3382 4630 5662 6764 8455 8797 9260 11324 13261 14155 16910 17594 26522 28310 33820 35188 41207 43985 53044 56620 66305 68987 82414 87970 132610 137974 164828 175940 206035 251959 265220 275948 344935 412070 503918 689870 782933 824140 1007836 1259795 1310753 1379740 1565866 2519590 2621506 3131732 3914665 5039180 5243012 6139843 6553765 7829330 12279686 13107530 15658660 24559372 26215060 30699215 61398430 116657017 122796860 233314034 466628068 583285085 1166570170 2333140340