Search a number
-
+
3454356420 = 2232519190869
BaseRepresentation
bin1100110111100101…
…0100101111000100
322220201222111011200
43031321110233010
524033303401140
61330434502500
7151413354654
oct31571245704
98821874150
103454356420
111512992119
12804a34a30
134308780a8
1424aaba364
151533e3030
hexcde54bc4

3454356420 has 36 divisors (see below), whose sum is σ = 10478215020. Its totient is φ = 921161664.

The previous prime is 3454356403. The next prime is 3454356467. The reversal of 3454356420 is 246534543.

3454356420 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 3 + 5 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2130560964 + 1323795456 = 46158^2 + 36384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9595255 + ... + 9595614.

Almost surely, 23454356420 is an apocalyptic number.

3454356420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3454356420 is an abundant number, since it is smaller than the sum of its proper divisors (7023858600).

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

3454356420 is a wasteful number, since it uses less digits than its factorization.

3454356420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19190884 (or 19190879 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3454356420 is about 58773.7732326248. The cubic root of 3454356420 is about 1511.6655481383.

The spelling of 3454356420 in words is "three billion, four hundred fifty-four million, three hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 19190869 38381738 57572607 76763476 95954345 115145214 172717821 191908690 230290428 287863035 345435642 383817380 575726070 690871284 863589105 1151452140 1727178210 3454356420