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344042214420 = 223535411619327
BaseRepresentation
bin1010000000110101000…
…00111001010000010100
31012220000220010022222210
411000122200321100110
521114044301330140
6422014550353420
733566454400002
oct5003240712024
91186026108883
10344042214420
111229a8951913
125681705b870
132659b493308
141291a4d1a72
158e38ea8d80
hex501a839414

344042214420 has 48 divisors (see below), whose sum is σ = 963590842368. Its totient is φ = 91718624640.

The previous prime is 344042214409. The next prime is 344042214437. The reversal of 344042214420 is 24412240443.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597204 + ... + 1022123.

It is an arithmetic number, because the mean of its divisors is an integer number (20074809216).

Almost surely, 2344042214420 is an apocalyptic number.

344042214420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344042214420 is an abundant number, since it is smaller than the sum of its proper divisors (619548627948).

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

344042214420 is a wasteful number, since it uses less digits than its factorization.

344042214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622880 (or 1622878 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 344042214420 its reverse (24412240443), we get a palindrome (368454454863).

The spelling of 344042214420 in words is "three hundred forty-four billion, forty-two million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3541 7082 10623 14164 17705 21246 35410 42492 53115 70820 106230 212460 1619327 3238654 4857981 6477308 8096635 9715962 16193270 19431924 24289905 32386540 48579810 97159620 5734036907 11468073814 17202110721 22936147628 28670184535 34404221442 57340369070 68808442884 86010553605 114680738140 172021107210 344042214420