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340345100 = 2252171941257
BaseRepresentation
bin10100010010010…
…100000100001100
3212201102022201002
4110102110010030
51144112020400
653434435432
711301612524
oct2422240414
9781368632
10340345100
11165130347
1295b92b78
1355685744
14332b6684
151ed2ced5
hex1449410c

340345100 has 144 divisors (see below), whose sum is σ = 846508320. Its totient is φ = 117964800.

The previous prime is 340345097. The next prime is 340345147. The reversal of 340345100 is 1543043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324172 + ... + 1324428.

It is an arithmetic number, because the mean of its divisors is an integer number (5878530).

Almost surely, 2340345100 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 340345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423254160).

340345100 is an abundant number, since it is smaller than the sum of its proper divisors (506163220).

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

340345100 is a wasteful number, since it uses less digits than its factorization.

340345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 340345100 is about 18448.4443788630. Note that the first 3 decimals coincide. The cubic root of 340345100 is about 698.1892656758.

Adding to 340345100 its reverse (1543043), we get a palindrome (341888143).

The spelling of 340345100 in words is "three hundred forty million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 41 50 68 76 82 85 95 100 164 170 190 205 257 323 340 380 410 425 475 514 646 697 779 820 850 950 1025 1028 1285 1292 1394 1558 1615 1700 1900 2050 2570 2788 3116 3230 3485 3895 4100 4369 4883 5140 6425 6460 6970 7790 8075 8738 9766 10537 12850 13243 13940 15580 16150 17425 17476 19475 19532 21074 21845 24415 25700 26486 32300 34850 38950 42148 43690 48830 52685 52972 66215 69700 77900 83011 87380 97660 105370 109225 122075 132430 166022 179129 200203 210740 218450 244150 263425 264860 331075 332044 358258 400406 415055 436900 488300 526850 662150 716516 800812 830110 895645 1001015 1053700 1324300 1660220 1791290 2002030 2075275 3403451 3582580 4004060 4150550 4478225 5005075 6806902 8301100 8956450 10010150 13613804 17017255 17912900 20020300 34034510 68069020 85086275 170172550 340345100