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341770240 = 21657149
BaseRepresentation
bin10100010111110…
…000000000000000
3212211002201122001
4110113300000000
51144443121430
653525153344
711316666460
oct2427600000
9784081561
10341770240
11165a14049
129655b854
1355a64316
1433567ba0
15200103ca
hex145f0000

341770240 has 136 divisors (see below), whose sum is σ = 943711200. Its totient is φ = 116391936.

The previous prime is 341770211. The next prime is 341770241. The reversal of 341770240 is 42077143.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 = 341770199 and 341770208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341770241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293686 + ... + 2293834.

Almost surely, 2341770240 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 341770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471855600).

341770240 is an abundant number, since it is smaller than the sum of its proper divisors (601940960).

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

341770240 is an frugal number, since it uses more digits than its factorization.

341770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 341770240 is about 18487.0289662780. The cubic root of 341770240 is about 699.1624267870.

The spelling of 341770240 in words is "three hundred forty-one million, seven hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 149 160 224 256 280 298 320 448 512 560 596 640 745 896 1024 1043 1120 1192 1280 1490 1792 2048 2086 2240 2384 2560 2980 3584 4096 4172 4480 4768 5120 5215 5960 7168 8192 8344 8960 9536 10240 10430 11920 14336 16384 16688 17920 19072 20480 20860 23840 28672 32768 33376 35840 38144 40960 41720 47680 57344 65536 66752 71680 76288 81920 83440 95360 114688 133504 143360 152576 163840 166880 190720 229376 267008 286720 305152 327680 333760 381440 458752 534016 573440 610304 667520 762880 1068032 1146880 1220608 1335040 1525760 2136064 2293760 2441216 2670080 3051520 4272128 4882432 5340160 6103040 8544256 9764864 10680320 12206080 17088512 21360640 24412160 34177024 42721280 48824320 68354048 85442560 170885120 341770240