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340034123040420 = 2235103912163448451
BaseRepresentation
bin100110101010000100101110…
…1000111011000011010100100
31122120221221111200101122201110
41031110021131013120122210
5324032104340444243140
63203105304123425020
7131423440361562504
oct11524113507303244
91576857450348643
10340034123040420
119938873086a946
1232178a83985170
1311797107305b53
145dd7a4cb7ba04
15294a104131380
hex135425d1d86a4

340034123040420 has 96 divisors (see below), whose sum is σ = 953092380764160. Its totient is φ = 90580844131200.

The previous prime is 340034123040347. The next prime is 340034123040427. The reversal of 340034123040420 is 24040321430043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (340034123040427) 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, 758017195 + ... + 758465645.

It is an arithmetic number, because the mean of its divisors is an integer number (9928045632960).

Almost surely, 2340034123040420 is an apocalyptic number.

340034123040420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340034123040420 is an abundant number, since it is smaller than the sum of its proper divisors (613058257723740).

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

340034123040420 is a wasteful number, since it uses less digits than its factorization.

340034123040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461665 (or 461663 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 340034123040420 its reverse (24040321430043), we get a palindrome (364074444470463).

The spelling of 340034123040420 in words is "three hundred forty trillion, thirty-four billion, one hundred twenty-three million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1039 2078 3117 4156 5195 6234 10390 12163 12468 15585 20780 24326 31170 36489 48652 60815 62340 72978 121630 145956 182445 243260 364890 448451 729780 896902 1345353 1793804 2242255 2690706 4484510 5381412 6726765 8969020 12637357 13453530 25274714 26907060 37912071 50549428 63186785 75824142 126373570 151648284 189560355 252747140 379120710 465940589 758241420 931881178 1397821767 1863762356 2329702945 2795643534 4659405890 5454509513 5591287068 6989108835 9318811780 10909019026 13978217670 16363528539 21818038052 27272547565 27956435340 32727057078 54545095130 65454114156 81817642695 109090190260 163635285390 327270570780 5667235384007 11334470768014 17001706152021 22668941536028 28336176920035 34003412304042 56672353840070 68006824608084 85008530760105 113344707680140 170017061520210 340034123040420