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2342134320 = 243531437321
BaseRepresentation
bin1000101110011010…
…0010001000110000
320001020010202021120
42023212202020300
514244041244240
61024224022240
7112016545641
oct21346421060
96036122246
102342134320
11aa208a1a9
12554461980
132b43082c6
141830b96c8
15da945ad0
hex8b9a2230

2342134320 has 160 divisors (see below), whose sum is σ = 7670175744. Its totient is φ = 590284800.

The previous prime is 2342134303. The next prime is 2342134331. The reversal of 2342134320 is 234312432.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316260 + ... + 323580.

Almost surely, 22342134320 is an apocalyptic number.

2342134320 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 2342134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835087872).

2342134320 is an abundant number, since it is smaller than the sum of its proper divisors (5328041424).

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

2342134320 is a wasteful number, since it uses less digits than its factorization.

2342134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7411 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2342134320 is about 48395.6022795460. The cubic root of 2342134320 is about 1328.0179117679.

Adding to 2342134320 its reverse (234312432), we get a palindrome (2576446752).

The spelling of 2342134320 in words is "two billion, three hundred forty-two million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 43 48 60 62 80 86 93 120 124 129 155 172 186 215 240 248 258 310 344 372 430 465 496 516 620 645 688 744 860 930 1032 1240 1290 1333 1488 1720 1860 2064 2480 2580 2666 3440 3720 3999 5160 5332 6665 7321 7440 7998 10320 10664 13330 14642 15996 19995 21328 21963 26660 29284 31992 36605 39990 43926 53320 58568 63984 73210 79980 87852 106640 109815 117136 146420 159960 175704 219630 226951 292840 314803 319920 351408 439260 453902 585680 629606 680853 878520 907804 944409 1134755 1259212 1361706 1574015 1757040 1815608 1888818 2269510 2518424 2723412 3148030 3404265 3631216 3777636 4539020 4722045 5036848 5446824 6296060 6808530 7555272 9078040 9444090 9758893 10893648 12592120 13617060 15110544 18156080 18888180 19517786 25184240 27234120 29276679 37776360 39035572 48794465 54468240 58553358 75552720 78071144 97588930 117106716 146383395 156142288 195177860 234213432 292766790 390355720 468426864 585533580 780711440 1171067160 2342134320