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1014203340 = 2232517431769
BaseRepresentation
bin111100011100111…
…000001111001100
32121200101212102200
4330130320033030
54034114001330
6244345521500
734063405023
oct7434701714
92550355380
101014203340
11480544a87
122437a3290
13132171027
14989a78ba
155e089a60
hex3c7383cc

1014203340 has 144 divisors (see below), whose sum is σ = 3269185920. Its totient is φ = 253624320.

The previous prime is 1014203339. The next prime is 1014203383. The reversal of 1014203340 is 433024101.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318476 + ... + 1319244.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 21014203340 is an apocalyptic number.

1014203340 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 1014203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634592960).

1014203340 is an abundant number, since it is smaller than the sum of its proper divisors (2254982580).

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

1014203340 is a wasteful number, since it uses less digits than its factorization.

1014203340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1014203340 is about 31846.5593118001. The cubic root of 1014203340 is about 1004.7122068948.

Adding to 1014203340 its reverse (433024101), we get a palindrome (1447227441).

The spelling of 1014203340 in words is "one billion, fourteen million, two hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 431 510 612 765 769 862 1020 1293 1530 1538 1724 2155 2307 2586 3060 3076 3845 3879 4310 4614 5172 6465 6921 7327 7690 7758 8620 9228 11535 12930 13073 13842 14654 15380 15516 19395 21981 23070 25860 26146 27684 29308 34605 36635 38790 39219 43962 46140 52292 65365 65943 69210 73270 77580 78438 87924 109905 117657 130730 131886 138420 146540 156876 196095 219810 235314 261460 263772 329715 331439 392190 439620 470628 588285 659430 662878 784380 994317 1176570 1318860 1325756 1657195 1988634 2353140 2982951 3314390 3977268 4971585 5634463 5965902 6628780 9943170 11268926 11931804 14914755 16903389 19886340 22537852 28172315 29829510 33806778 50710167 56344630 59659020 67613556 84516945 101420334 112689260 169033890 202840668 253550835 338067780 507101670 1014203340