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1414352380 = 2257371371993
BaseRepresentation
bin101010001001101…
…0100110111111100
310122120100112201111
41110103110313330
510344033234010
6352202251404
750022540220
oct12423246774
93576315644
101414352380
11666401971
123357b6b64
131970353cc
14d5baa780
158427c58a
hex544d4dfc

1414352380 has 96 divisors (see below), whose sum is σ = 3513396096. Its totient is φ = 468135936.

The previous prime is 1414352369. The next prime is 1414352393. The reversal of 1414352380 is 832534141.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 708664 + ... + 710656.

It is an arithmetic number, because the mean of its divisors is an integer number (36597876).

Almost surely, 21414352380 is an apocalyptic number.

1414352380 is a gapful number since it is divisible by the number (10) 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 1414352380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756698048).

1414352380 is an abundant number, since it is smaller than the sum of its proper divisors (2099043716).

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

1414352380 is a wasteful number, since it uses less digits than its factorization.

1414352380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1414352380 is about 37607.8765686126. The cubic root of 1414352380 is about 1122.4987736489.

The spelling of 1414352380 in words is "one billion, four hundred fourteen million, three hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 137 140 148 185 259 274 370 518 548 685 740 959 1036 1295 1370 1918 1993 2590 2740 3836 3986 4795 5069 5180 7972 9590 9965 10138 13951 19180 19930 20276 25345 27902 35483 39860 50690 55804 69755 70966 73741 101380 139510 141932 147482 177415 273041 279020 294964 354830 368705 516187 546082 709660 737410 1032374 1092164 1365205 1474820 1911287 2064748 2580935 2730410 3822574 5161870 5460820 7645148 9556435 10102517 10323740 19112870 20205034 38225740 40410068 50512585 70717619 101025170 141435238 202050340 282870476 353588095 707176190 1414352380