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344505420 = 22335791139
BaseRepresentation
bin10100100010001…
…011110001001100
3220000020200121000
4110202023301030
51201143133140
654103540300
711352150660
oct2442136114
9800220530
10344505420
11167512026
129745a690
13564b127c
1433a7a8a0
15203a0a30
hex1488bc4c

344505420 has 96 divisors (see below), whose sum is σ = 1224921600. Its totient is φ = 78743232.

The previous prime is 344505377. The next prime is 344505437. The reversal of 344505420 is 24505443.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 41790 + ... + 49349.

It is an arithmetic number, because the mean of its divisors is an integer number (12759600).

Almost surely, 2344505420 is an apocalyptic number.

344505420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344505420 is an abundant number, since it is smaller than the sum of its proper divisors (880416180).

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

344505420 is a wasteful number, since it uses less digits than its factorization.

344505420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91164 (or 91156 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 344505420 is about 18560.8572000325. The cubic root of 344505420 is about 701.0226006363.

The spelling of 344505420 in words is "three hundred forty-four million, five hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 91139 182278 273417 364556 455695 546834 637973 820251 911390 1093668 1275946 1367085 1640502 1822780 1913919 2460753 2551892 2734170 3189865 3281004 3827838 4101255 4921506 5468340 5741757 6379730 7655676 8202510 9569595 9843012 11483514 12303765 12759460 16405020 17225271 19139190 22967028 24607530 28708785 34450542 38278380 49215060 57417570 68901084 86126355 114835140 172252710 344505420