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1014340340 = 225134199311
BaseRepresentation
bin111100011101011…
…001101011110100
32121200122211100202
4330131121223310
54034132342330
6244352500032
734064515316
oct7435315364
92550584322
101014340340
11480628a02
1224384a618
131321bb4b0
1498a017b6
155e0b5445
hex3c759af4

1014340340 has 48 divisors (see below), whose sum is σ = 2299691520. Its totient is φ = 373591680.

The previous prime is 1014340339. The next prime is 1014340351. The reversal of 1014340340 is 430434101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 104285 + ... + 113595.

It is an arithmetic number, because the mean of its divisors is an integer number (47910240).

Almost surely, 21014340340 is an apocalyptic number.

1014340340 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 1014340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149845760).

1014340340 is an abundant number, since it is smaller than the sum of its proper divisors (1285351180).

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

1014340340 is a wasteful number, since it uses less digits than its factorization.

1014340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9752 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1014340340 is about 31848.7101779648. The cubic root of 1014340340 is about 1004.7574441662.

Adding to 1014340340 its reverse (430434101), we get a palindrome (1444774441).

The spelling of 1014340340 in words is "one billion, fourteen million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 419 838 1676 2095 4190 5447 8380 9311 10894 18622 21788 27235 37244 46555 54470 93110 108940 121043 186220 242086 484172 605215 1210430 2420860 3901309 7802618 15605236 19506545 39013090 50717017 78026180 101434034 202868068 253585085 507170170 1014340340