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2371342480 = 245133476571
BaseRepresentation
bin1000110101010111…
…1101000010010000
320010021002200100021
42031111331002100
514324030424410
61031150033224
7112523035633
oct21525750220
96107080307
102371342480
111007619781
125621a8814
132ba393a40
14186d1dc1a
15dd2b4eda
hex8d57d090

2371342480 has 80 divisors (see below), whose sum is σ = 5955493824. Its totient is φ = 872916480.

The previous prime is 2371342471. The next prime is 2371342513. The reversal of 2371342480 is 842431732.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×23713424804 (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357595 + ... + 364165.

Almost surely, 22371342480 is an apocalyptic number.

2371342480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2371342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977746912).

2371342480 is an abundant number, since it is smaller than the sum of its proper divisors (3584151344).

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

2371342480 is a wasteful number, since it uses less digits than its factorization.

2371342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2371342480 is about 48696.4319021425. The cubic root of 2371342480 is about 1333.5155789776.

The spelling of 2371342480 in words is "two billion, three hundred seventy-one million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 347 520 694 1040 1388 1735 2776 3470 4511 5552 6571 6940 9022 13142 13880 18044 22555 26284 27760 32855 36088 45110 52568 65710 72176 85423 90220 105136 131420 170846 180440 262840 341692 360880 427115 525680 683384 854230 1366768 1708460 2280137 3416920 4560274 6833840 9120548 11400685 18241096 22801370 29641781 36482192 45602740 59283562 91205480 118567124 148208905 182410960 237134248 296417810 474268496 592835620 1185671240 2371342480