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1014340500 = 223253534253
BaseRepresentation
bin111100011101011…
…001101110010100
32121200122211120200
4330131121232110
54034132344000
6244352500500
734064515635
oct7435315624
92550584520
101014340500
11480629038
1224384a730
131321bb5a4
1498a0188c
155e0b5500
hex3c759b94

1014340500 has 144 divisors (see below), whose sum is σ = 3261048336. Its totient is φ = 265324800.

The previous prime is 1014340477. The next prime is 1014340501. The reversal of 1014340500 is 50434101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 441504144 + 572836356 = 21012^2 + 23934^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014340501) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 236374 + ... + 240626.

It is an arithmetic number, because the mean of its divisors is an integer number (22646169).

Almost surely, 21014340500 is an apocalyptic number.

1014340500 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 1014340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630524168).

1014340500 is an abundant number, since it is smaller than the sum of its proper divisors (2246707836).

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

1014340500 is a wasteful number, since it uses less digits than its factorization.

1014340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1014340500 is about 31848.7126898404. The cubic root of 1014340500 is about 1004.7574969956.

Adding to 1014340500 its reverse (50434101), we get a palindrome (1064774601).

The spelling of 1014340500 in words is "one billion, fourteen million, three hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 125 150 159 180 212 225 250 265 300 318 375 450 477 500 530 636 750 795 900 954 1060 1125 1325 1500 1590 1908 2250 2385 2650 3180 3975 4253 4500 4770 5300 6625 7950 8506 9540 11925 12759 13250 15900 17012 19875 21265 23850 25518 26500 38277 39750 42530 47700 51036 59625 63795 76554 79500 85060 106325 119250 127590 153108 191385 212650 225409 238500 255180 318975 382770 425300 450818 531625 637950 676227 765540 901636 956925 1063250 1127045 1275900 1352454 1594875 1913850 2028681 2126500 2254090 2704908 3189750 3381135 3827700 4057362 4508180 4784625 5635225 6379500 6762270 8114724 9569250 10143405 11270450 13524540 16905675 19138500 20286810 22540900 28176125 33811350 40573620 50717025 56352250 67622700 84528375 101434050 112704500 169056750 202868100 253585125 338113500 507170250 1014340500