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2342340036 = 22321731331373
BaseRepresentation
bin1000101110011101…
…0100010111000100
320001020112012110200
42023213110113010
514244114340121
61024232250500
7112021363461
oct21347242704
96036465420
102342340036
11aa220a813
12554540a30
132b437ab2a
14183130668
15da986a26
hex8b9d45c4

2342340036 has 144 divisors (see below), whose sum is σ = 6508389888. Its totient is φ = 707097600.

The previous prime is 2342340029. The next prime is 2342340043. The reversal of 2342340036 is 6300432432.

It is a happy number.

2342340036 is a `hidden beast` number, since 234 + 23 + 400 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2342340029) and next prime (2342340043).

It is a junction number, because it is equal to n+sod(n) for n = 2342339991 and 2342340009.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6279546 + ... + 6279918.

It is an arithmetic number, because the mean of its divisors is an integer number (45197152).

Almost surely, 22342340036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342340036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254194944).

2342340036 is an abundant number, since it is smaller than the sum of its proper divisors (4166049852).

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

2342340036 is a wasteful number, since it uses less digits than its factorization.

2342340036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2342340036 is about 48397.7275912826. The cubic root of 2342340036 is about 1328.0567917661.

Adding to 2342340036 its reverse (6300432432), we get a palindrome (8642772468).

It can be divided in two parts, 2342 and 340036, that added together give a triangular number (342378 = T827).

The spelling of 2342340036 in words is "two billion, three hundred forty-two million, three hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 331 372 373 527 558 612 662 746 993 1054 1116 1119 1324 1492 1581 1986 2108 2238 2979 3162 3357 3972 4476 4743 5627 5958 6324 6341 6714 9486 10261 11254 11563 11916 12682 13428 16881 18972 19023 20522 22508 23126 25364 30783 33762 34689 38046 41044 46252 50643 57069 61566 67524 69378 76092 92349 101286 104067 114138 123132 123463 138756 174437 184698 196571 202572 208134 228276 246926 348874 369396 370389 393142 416268 493852 523311 589713 697748 740778 786284 1046622 1111167 1179426 1481556 1569933 1769139 2093244 2098871 2222334 2358852 3139866 3538278 3827353 4197742 4444668 6279732 6296613 7076556 7654706 8395484 11482059 12593226 15309412 18889839 22964118 25186452 34446177 37779678 45928236 65065001 68892354 75559356 130130002 137784708 195195003 260260004 390390006 585585009 780780012 1171170018 2342340036