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334031130 = 232517233937
BaseRepresentation
bin10011111010001…
…110100100011010
3212021112112120100
4103322032210122
51141002444010
653051240230
711164134456
oct2372164432
9767475510
10334031130
11161608594
1293a49076
1354284874
1432511666
151e4d22c0
hex13e8e91a

334031130 has 96 divisors (see below), whose sum is σ = 924500304. Its totient is φ = 83386368.

The previous prime is 334031119. The next prime is 334031143. The reversal of 334031130 is 31130433.

It can be written as a sum of positive squares in 8 ways, for example, as 57108249 + 276922881 = 7557^2 + 16641^2 .

It is a super-2 number, since 2×3340311302 = 223153591618153800, which contains 22 as substring.

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

It is a Curzon number.

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, 356022 + ... + 356958.

Almost surely, 2334031130 is an apocalyptic number.

334031130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462250152).

334031130 is an abundant number, since it is smaller than the sum of its proper divisors (590469174).

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

334031130 is a wasteful number, since it uses less digits than its factorization.

334031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 334031130 is about 18276.5185415604. The cubic root of 334031130 is about 693.8447623172.

Adding to 334031130 its reverse (31130433), we get a palindrome (365161563).

The spelling of 334031130 in words is "three hundred thirty-four million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 233 255 306 466 510 699 765 937 1165 1398 1530 1874 2097 2330 2811 3495 3961 4194 4685 5622 6990 7922 8433 9370 10485 11883 14055 15929 16866 19805 20970 23766 28110 31858 35649 39610 42165 47787 59415 71298 79645 84330 95574 118830 143361 159290 178245 218321 238935 286722 356490 436642 477870 654963 716805 1091605 1309926 1433610 1964889 2183210 3274815 3711457 3929778 6549630 7422914 9824445 11134371 18557285 19648890 22268742 33403113 37114570 55671855 66806226 111343710 167015565 334031130