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18349740 = 2234547241
BaseRepresentation
bin100010111111…
…1111010101100
31021112021010000
41011333322230
514144142430
61453144300
7311653533
oct105777254
937467100
1018349740
11a3a3482
12618b090
133a56246
14261931a
151926e60
hex117feac

18349740 has 120 divisors (see below), whose sum is σ = 59032512. Its totient is φ = 4769280.

The previous prime is 18349739. The next prime is 18349741. The reversal of 18349740 is 4794381.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18349739) and next prime (18349741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18349695 and 18349704.

It is not an unprimeable number, because it can be changed into a prime (18349741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76020 + ... + 76260.

Almost surely, 218349740 is an apocalyptic number.

18349740 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 18349740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29516256).

18349740 is an abundant number, since it is smaller than the sum of its proper divisors (40682772).

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

18349740 is a wasteful number, since it uses less digits than its factorization.

18349740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 18349740 is about 4283.6596503457. The cubic root of 18349740 is about 263.7606301354.

It can be divided in two parts, 1 and 8349740, that added together give a triangular number (8349741 = T4086).

The spelling of 18349740 in words is "eighteen million, three hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 241 270 282 324 405 423 470 482 540 564 705 723 810 846 940 964 1205 1269 1410 1446 1620 1692 2115 2169 2410 2538 2820 2892 3615 3807 4230 4338 4820 5076 6345 6507 7230 7614 8460 8676 10845 11327 12690 13014 14460 15228 19035 19521 21690 22654 25380 26028 32535 33981 38070 39042 43380 45308 56635 65070 67962 76140 78084 97605 101943 113270 130140 135924 169905 195210 203886 226540 305829 339810 390420 407772 509715 611658 679620 917487 1019430 1223316 1529145 1834974 2038860 3058290 3669948 4587435 6116580 9174870 18349740