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2414384664 = 233671501483
BaseRepresentation
bin1000111111101000…
…1001011000011000
320020021002110010020
42033322021120120
514421040302124
61035324350440
7113554634226
oct21772113030
96207073106
102414384664
111029947a2a
125746a5420
132c62841a3
1418c925b16
15e1e68379
hex8fe89618

2414384664 has 32 divisors (see below), whose sum is σ = 6126054720. Its totient is φ = 792782496.

The previous prime is 2414384653. The next prime is 2414384711. The reversal of 2414384664 is 4664834142.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749134 + ... + 752349.

It is an arithmetic number, because the mean of its divisors is an integer number (191439210).

Almost surely, 22414384664 is an apocalyptic number.

2414384664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2414384664 is an abundant number, since it is smaller than the sum of its proper divisors (3711670056).

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

2414384664 is a wasteful number, since it uses less digits than its factorization.

2414384664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501559 (or 1501555 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 2414384664 is about 49136.3883898685. The cubic root of 2414384664 is about 1341.5354538415.

The spelling of 2414384664 in words is "two billion, four hundred fourteen million, three hundred eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 1501483 3002966 4504449 6005932 9008898 12011864 18017796 36035592 100599361 201198722 301798083 402397444 603596166 804794888 1207192332 2414384664