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341063040 = 2735374801
BaseRepresentation
bin10100010101000…
…011010110000000
3212202202210112110
4110111003112000
51144303004130
653502055320
711310662613
oct2425032600
9782683473
10341063040
1116558078a
129627a540
1355877466
143342217a
151ee20ab0
hex14543580

341063040 has 128 divisors (see below), whose sum is σ = 1116753120. Its totient is φ = 88473600.

The previous prime is 341063039. The next prime is 341063069. The reversal of 341063040 is 40360143.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 341062998 and 341063016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68640 + ... + 73440.

Almost surely, 2341063040 is an apocalyptic number.

341063040 is a gapful number since it is divisible by the number (30) 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 341063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558376560).

341063040 is an abundant number, since it is smaller than the sum of its proper divisors (775690080).

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

341063040 is a wasteful number, since it uses less digits than its factorization.

341063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 341063040 is about 18467.8921374368. The cubic root of 341063040 is about 698.6798520001.

The spelling of 341063040 in words is "three hundred forty-one million, sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1480 1776 1920 2220 2368 2960 3552 4440 4736 4801 5920 7104 8880 9602 11840 14208 14403 17760 19204 23680 24005 28806 35520 38408 48010 57612 71040 72015 76816 96020 115224 144030 153632 177637 192040 230448 288060 307264 355274 384080 460896 532911 576120 614528 710548 768160 888185 921792 1065822 1152240 1421096 1536320 1776370 1843584 2131644 2304480 2664555 2842192 3072640 3552740 4263288 4608960 5329110 5684384 7105480 8526576 9217920 10658220 11368768 14210960 17053152 21316440 22737536 28421920 34106304 42632880 56843840 68212608 85265760 113687680 170531520 341063040