Search a number
-
+
2342116480 = 27511332687
BaseRepresentation
bin1000101110011001…
…1101110010000000
320001020002211210211
42023212131302000
514244040211410
61024223403504
7112016442634
oct21346356200
96036084724
102342116480
11aa2077860
12554453594
132b4300152
141830b2dc4
15da94068a
hex8b99dc80

2342116480 has 64 divisors (see below), whose sum is σ = 6108151680. Its totient is φ = 851676160.

The previous prime is 2342116429. The next prime is 2342116487. The reversal of 2342116480 is 846112432.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2342116487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159304 + ... + 173383.

It is an arithmetic number, because the mean of its divisors is an integer number (95439870).

Almost surely, 22342116480 is an apocalyptic number.

2342116480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342116480 is an abundant number, since it is smaller than the sum of its proper divisors (3766035200).

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

2342116480 is a wasteful number, since it uses less digits than its factorization.

2342116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332717 (or 332705 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2342116480 is about 48395.4179649272. The cubic root of 2342116480 is about 1328.0145399289.

The spelling of 2342116480 in words is "two billion, three hundred forty-two million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 332687 665374 1330748 1663435 2661496 3326870 3659557 5322992 6653740 7319114 10645984 13307480 14638228 18297785 21291968 26614960 29276456 36595570 42583936 53229920 58552912 73191140 106459840 117105824 146382280 212919680 234211648 292764560 468423296 585529120 1171058240 2342116480