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1014340740 = 2235710722571
BaseRepresentation
bin111100011101011…
…001110010000100
32121200122211220120
4330131121302010
54034132400430
6244352501540
734064516430
oct7435316204
92550584816
101014340740
11480629236
1224384a8b0
131321bb72a
1498a019c0
155e0b5610
hex3c759c84

1014340740 has 96 divisors (see below), whose sum is σ = 3276370944. Its totient is φ = 229672320.

The previous prime is 1014340711. The next prime is 1014340741. The reversal of 1014340740 is 470434101.

1014340740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1014340740.

It is not an unprimeable number, because it can be changed into a prime (1014340741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33655 + ... + 56225.

It is an arithmetic number, because the mean of its divisors is an integer number (34128864).

Almost surely, 21014340740 is an apocalyptic number.

1014340740 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 1014340740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638185472).

1014340740 is an abundant number, since it is smaller than the sum of its proper divisors (2262030204).

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

1014340740 is a wasteful number, since it uses less digits than its factorization.

1014340740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22697 (or 22695 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1014340740 is about 31848.7164576534. The cubic root of 1014340740 is about 1004.7575762398.

Adding to 1014340740 its reverse (470434101), we get a palindrome (1484774841).

The spelling of 1014340740 in words is "one billion, fourteen million, three hundred forty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1284 1498 1605 2140 2247 2996 3210 3745 4494 6420 7490 8988 11235 14980 22470 22571 44940 45142 67713 90284 112855 135426 157997 225710 270852 315994 338565 451420 473991 631988 677130 789985 947982 1354260 1579970 1895964 2369955 2415097 3159940 4739910 4830194 7245291 9479820 9660388 12075485 14490582 16905679 24150970 28981164 33811358 36226455 48301940 50717037 67622716 72452910 84528395 101434074 144905820 169056790 202868148 253585185 338113580 507170370 1014340740