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1034494140 = 2235197112781
BaseRepresentation
bin111101101010010…
…010000010111100
32200002120202011210
4331222102002330
54104312303030
6250352444420
734431024621
oct7552220274
92602522153
101034494140
11490a43839
1224a549710
13136426914
149b56a348
1560c46bb0
hex3da920bc

1034494140 has 96 divisors (see below), whose sum is σ = 3092221440. Its totient is φ = 257644800.

The previous prime is 1034494091. The next prime is 1034494151. The reversal of 1034494140 is 414944301.

1034494140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1034494098 and 1034494107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74550 + ... + 87330.

It is an arithmetic number, because the mean of its divisors is an integer number (32210640).

Almost surely, 21034494140 is an apocalyptic number.

1034494140 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 1034494140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546110720).

1034494140 is an abundant number, since it is smaller than the sum of its proper divisors (2057727300).

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

1034494140 is a wasteful number, since it uses less digits than its factorization.

1034494140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1034494140 is about 32163.5529753788. The cubic root of 1034494140 is about 1011.3683182644.

The spelling of 1034494140 in words is "one billion, thirty-four million, four hundred ninety-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 284 285 355 380 426 570 710 852 1065 1140 1349 1420 2130 2698 4047 4260 5396 6745 8094 12781 13490 16188 20235 25562 26980 38343 40470 51124 63905 76686 80940 127810 153372 191715 242839 255620 383430 485678 728517 766860 907451 971356 1214195 1457034 1814902 2428390 2722353 2914068 3629804 3642585 4537255 4856780 5444706 7285170 9074510 10889412 13611765 14570340 17241569 18149020 27223530 34483138 51724707 54447060 68966276 86207845 103449414 172415690 206898828 258623535 344831380 517247070 1034494140