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1014103400 = 235237433187
BaseRepresentation
bin111100011100011…
…111110101101000
32121200012210100012
4330130133311220
54034102302100
6244343431052
734062510452
oct7434376550
92550183305
101014103400
11480486992
12243755488
131321376ab
149897d2d2
155e06a135
hex3c71fd68

1014103400 has 96 divisors (see below), whose sum is σ = 2478606240. Its totient is φ = 385378560.

The previous prime is 1014103399. The next prime is 1014103417. The reversal of 1014103400 is 43014101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316607 + ... + 319793.

It is an arithmetic number, because the mean of its divisors is an integer number (25818815).

Almost surely, 21014103400 is an apocalyptic number.

1014103400 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 1014103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239303120).

1014103400 is an abundant number, since it is smaller than the sum of its proper divisors (1464502840).

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

1014103400 is a wasteful number, since it uses less digits than its factorization.

1014103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1014103400 is about 31844.9901868410. The cubic root of 1014103400 is about 1004.6792042308.

Adding to 1014103400 its reverse (43014101), we get a palindrome (1057117501).

The spelling of 1014103400 in words is "one billion, fourteen million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 43 50 74 86 100 148 172 185 200 215 296 344 370 430 740 860 925 1075 1480 1591 1720 1850 2150 3182 3187 3700 4300 6364 6374 7400 7955 8600 12728 12748 15910 15935 25496 31820 31870 39775 63640 63740 79550 79675 117919 127480 137041 159100 159350 235838 274082 318200 318700 471676 548164 589595 637400 685205 943352 1096328 1179190 1370410 2358380 2740820 2947975 3426025 4716760 5070517 5481640 5895950 6852050 10141034 11791900 13704100 20282068 23583800 25352585 27408200 40564136 50705170 101410340 126762925 202820680 253525850 507051700 1014103400