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1234103780 = 2257131739887
BaseRepresentation
bin100100110001110…
…1110110111100100
310012000011222010102
41021203232313210
510011412310110
6322243043232
742403465130
oct11143566744
93160158112
101234103780
1158368a488
122a5370518
131688a5330
14b9c8a3c0
15735255a5
hex498eede4

1234103780 has 96 divisors (see below), whose sum is σ = 3377396736. Its totient is φ = 367589376.

The previous prime is 1234103771. The next prime is 1234103791. The reversal of 1234103780 is 873014321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10997 + ... + 50883.

It is an arithmetic number, because the mean of its divisors is an integer number (35181216).

Almost surely, 21234103780 is an apocalyptic number.

1234103780 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 1234103780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688698368).

1234103780 is an abundant number, since it is smaller than the sum of its proper divisors (2143292956).

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

1234103780 is a wasteful number, since it uses less digits than its factorization.

1234103780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39933 (or 39931 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1234103780 is about 35129.8132645194. The cubic root of 1234103780 is about 1072.6315348081.

The spelling of 1234103780 in words is "one billion, two hundred thirty-four million, one hundred three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 4420 6188 7735 15470 30940 39887 79774 159548 199435 279209 398870 518531 558418 678079 797740 1037062 1116836 1356158 1396045 2074124 2592655 2712316 2792090 3390395 3629717 4746553 5185310 5584180 6780790 7259434 8815027 9493106 10370620 13561580 14518868 17630054 18148585 18986212 23732765 35260108 36297170 44075135 47465530 61705189 72594340 88150270 94931060 123410378 176300540 246820756 308525945 617051890 1234103780