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341360740 = 225729831013
BaseRepresentation
bin10100010110001…
…100000001100100
3212210022220220101
4110112030001210
51144342020430
653512313444
711313342550
oct2426140144
9783286811
10341360740
11165764416
12963a2884
135594cb06
143349c860
151ee7ddca
hex1458c064

341360740 has 96 divisors (see below), whose sum is σ = 858574080. Its totient is φ = 111530496.

The previous prime is 341360729. The next prime is 341360743. The reversal of 341360740 is 47063143.

It is a super-3 number, since 3×3413607403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 341360699 and 341360708.

It is not an unprimeable number, because it can be changed into a prime (341360743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336474 + ... + 337486.

It is an arithmetic number, because the mean of its divisors is an integer number (8943480).

Almost surely, 2341360740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341360740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

341360740 is an abundant number, since it is smaller than the sum of its proper divisors (517213340).

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

341360740 is a wasteful number, since it uses less digits than its factorization.

341360740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 341360740 is about 18475.9503138540. The cubic root of 341360740 is about 698.8830759202.

The spelling of 341360740 in words is "three hundred forty-one million, three hundred sixty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 83 116 140 145 166 203 290 332 406 415 580 581 812 830 1013 1015 1162 1660 2026 2030 2324 2407 2905 4052 4060 4814 5065 5810 7091 9628 10130 11620 12035 14182 16849 20260 24070 28364 29377 33698 35455 48140 58754 67396 70910 84079 84245 117508 141820 146885 168158 168490 205639 293770 336316 336980 411278 420395 587540 588553 822556 840790 1028195 1177106 1681580 2056390 2354212 2438291 2942765 4112780 4876582 5885530 9753164 11771060 12191455 17068037 24382910 34136074 48765820 68272148 85340185 170680370 341360740