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3346704540 = 223454150387
BaseRepresentation
bin1100011101111010…
…1010100010011100
322122020102012120000
43013132222202130
523323224021130
61312031254300
7145635343044
oct30736524234
98566365500
103346704540
111468144723
1279497a390
1341448575a
1423a696724
15148c2b260
hexc77aa89c

3346704540 has 120 divisors (see below), whose sum is σ = 10755016272. Its totient is φ = 870670080.

The previous prime is 3346704533. The next prime is 3346704547. The reversal of 3346704540 is 454076433.

It is a happy number.

3346704540 is a `hidden beast` number, since 3 + 3 + 46 + 70 + 4 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (3346704533) and next prime (3346704547).

It is a super-2 number, since 2×33467045402 = 22400862556113223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3346704495 and 3346704504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346704547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41227 + ... + 91613.

Almost surely, 23346704540 is an apocalyptic number.

3346704540 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 3346704540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377508136).

3346704540 is an abundant number, since it is smaller than the sum of its proper divisors (7408311732).

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

3346704540 is a wasteful number, since it uses less digits than its factorization.

3346704540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50449 (or 50438 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3346704540 is about 57850.7090708489. The cubic root of 3346704540 is about 1495.7963103337.

The spelling of 3346704540 in words is "three billion, three hundred forty-six million, seven hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5535 6642 7380 11070 13284 16605 22140 33210 50387 66420 100774 151161 201548 251935 302322 453483 503870 604644 755805 906966 1007740 1360449 1511610 1813932 2065867 2267415 2720898 3023220 4081347 4131734 4534830 5441796 6197601 6802245 8162694 8263468 9069660 10329335 12395202 13604490 16325388 18592803 20406735 20658670 24790404 27208980 30988005 37185606 40813470 41317340 55778409 61976010 74371212 81626940 92964015 111556818 123952020 167335227 185928030 223113636 278892045 334670454 371856060 557784090 669340908 836676135 1115568180 1673352270 3346704540