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341370264 = 23319231241
BaseRepresentation
bin10100010110001…
…110010110011000
3212210100101222010
4110112032112120
51144342322024
653512425520
711313412404
oct2426162630
9783311863
10341370264
11165770594
12963a82a0
1355954251
14334a2104
151ee81b29
hex1458e598

341370264 has 144 divisors (see below), whose sum is σ = 953399160. Its totient is φ = 101779200.

The previous prime is 341370241. The next prime is 341370307. The reversal of 341370264 is 462073143.

341370264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8326084 + ... + 8326124.

Almost surely, 2341370264 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 341370264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476699580).

341370264 is an abundant number, since it is smaller than the sum of its proper divisors (612028896).

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

341370264 is a wasteful number, since it uses less digits than its factorization.

341370264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 341370264 is about 18476.2080525199. The cubic root of 341370264 is about 698.8895754965.

The spelling of 341370264 in words is "three hundred forty-one million, three hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 41 57 62 76 82 93 114 123 124 152 164 186 228 246 248 328 361 372 456 492 589 722 744 779 961 984 1083 1178 1271 1444 1558 1767 1922 2166 2337 2356 2542 2883 2888 3116 3534 3813 3844 4332 4674 4712 5084 5766 6232 7068 7626 7688 8664 9348 10168 11191 11532 14136 14801 15252 18259 18696 22382 23064 24149 29602 30504 33573 36518 39401 44403 44764 48298 54777 59204 67146 72447 73036 78802 88806 89528 96596 109554 118203 118408 134292 144894 146072 157604 177612 193192 219108 236406 268584 289788 315208 346921 355224 438216 458831 472812 579576 693842 748619 917662 945624 1040763 1376493 1387684 1497238 1835324 2081526 2245857 2752986 2775368 2994476 3670648 4163052 4491714 5505972 5988952 8326104 8983428 11011944 14223761 17966856 28447522 42671283 56895044 85342566 113790088 170685132 341370264