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344345420 = 225232983311
BaseRepresentation
bin10100100001100…
…100101101001100
3212222221120010002
4110201210231030
51201123023140
654100303432
711350613336
oct2441445514
9788846102
10344345420
111674128a1
12973a1b78
13564564b3
1433a38456
152036d415
hex14864b4c

344345420 has 96 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 125269760.

The previous prime is 344345413. The next prime is 344345423. The reversal of 344345420 is 24543443.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (344345423) 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, 1107065 + ... + 1107375.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2344345420 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 344345420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

344345420 is an abundant number, since it is smaller than the sum of its proper divisors (448184500).

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

344345420 is a wasteful number, since it uses less digits than its factorization.

344345420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The square root of 344345420 is about 18556.5465537098. The cubic root of 344345420 is about 700.9140576079.

Adding to 344345420 its reverse (24543443), we get a palindrome (368888863).

The spelling of 344345420 in words is "three hundred forty-four million, three hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 83 92 115 116 145 166 230 290 311 332 415 460 580 622 667 830 1244 1334 1555 1660 1909 2407 2668 3110 3335 3818 4814 6220 6670 7153 7636 9019 9545 9628 12035 13340 14306 18038 19090 24070 25813 28612 35765 36076 38180 45095 48140 51626 55361 71530 90190 103252 110722 129065 143060 180380 207437 221444 258130 276805 414874 516260 553610 593699 748577 829748 1037185 1107220 1187398 1497154 2074370 2374796 2968495 2994308 3742885 4148740 5936990 7485770 11873980 14971540 17217271 34434542 68869084 86086355 172172710 344345420