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103214340 = 2232523107233
BaseRepresentation
bin1100010011011…
…10110100000100
321012012211110100
412021232310010
5202410324330
614124124100
72362210305
oct611566404
9235184410
10103214340
1153297509
122a696630
13184ca898
14d9ca7ac
1590dc060
hex626ed04

103214340 has 144 divisors (see below), whose sum is σ = 331164288. Its totient is φ = 25969152.

The previous prime is 103214339. The next prime is 103214341. The reversal of 103214340 is 43412301.

103214340 is a `hidden beast` number, since 1 + 0 + 321 + 4 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (103214339) and next prime (103214341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103214341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442864 + ... + 443096.

It is an arithmetic number, because the mean of its divisors is an integer number (2299752).

Almost surely, 2103214340 is an apocalyptic number.

103214340 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 103214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165582144).

103214340 is an abundant number, since it is smaller than the sum of its proper divisors (227949948).

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

103214340 is a wasteful number, since it uses less digits than its factorization.

103214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103214340 is about 10159.4458510295. The cubic root of 103214340 is about 469.0797445185.

Adding to 103214340 its reverse (43412301), we get a palindrome (146626641).

The spelling of 103214340 in words is "one hundred three million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 107 115 138 180 207 214 230 233 276 321 345 414 428 460 466 535 642 690 699 828 932 963 1035 1070 1165 1284 1380 1398 1605 1926 2070 2097 2140 2330 2461 2796 3210 3495 3852 4140 4194 4660 4815 4922 5359 6420 6990 7383 8388 9630 9844 10485 10718 12305 13980 14766 16077 19260 20970 21436 22149 24610 24931 26795 29532 32154 36915 41940 44298 48231 49220 49862 53590 64308 73830 74793 80385 88596 96462 99724 107180 110745 124655 147660 149586 160770 192924 221490 224379 241155 249310 299172 321540 373965 442980 448758 482310 498620 573413 747930 897516 964620 1121895 1146826 1495860 1720239 2243790 2293652 2867065 3440478 4487580 5160717 5734130 6880956 8601195 10321434 11468260 17202390 20642868 25803585 34404780 51607170 103214340