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3494091780 = 2232553541677
BaseRepresentation
bin1101000001000011…
…1001110000000100
3100000111202020211200
43100100321300010
524123441414110
61334414302500
7152405201334
oct32020716004
910014666750
103494091780
111533361963
128161b7a30
13438b7b33a
142520a10c4
15156b416c0
hexd0439c04

3494091780 has 144 divisors (see below), whose sum is σ = 10834662384. Its totient is φ = 911139840.

The previous prime is 3494091751. The next prime is 3494091803. The reversal of 3494091780 is 871904943.

3494091780 is a `hidden beast` number, since 3 + 494 + 0 + 91 + 78 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 401842116 + 3092249664 = 20046^2 + 55608^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5160802 + ... + 5161478.

It is an arithmetic number, because the mean of its divisors is an integer number (75240711).

Almost surely, 23494091780 is an apocalyptic number.

3494091780 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 3494091780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417331192).

3494091780 is an abundant number, since it is smaller than the sum of its proper divisors (7340570604).

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

3494091780 is a wasteful number, since it uses less digits than its factorization.

3494091780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3494091780 is about 59110.8431677302. The cubic root of 3494091780 is about 1517.4396792588.

The spelling of 3494091780 in words is "three billion, four hundred ninety-four million, ninety-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 541 636 677 795 954 1060 1082 1354 1590 1623 1908 2031 2164 2385 2705 2708 3180 3246 3385 4062 4770 4869 5410 6093 6492 6770 8115 8124 9540 9738 10155 10820 12186 13540 16230 19476 20310 24345 24372 28673 30465 32460 35881 40620 48690 57346 60930 71762 86019 97380 107643 114692 121860 143365 143524 172038 179405 215286 258057 286730 322929 344076 358810 366257 430095 430572 516114 538215 573460 645858 717620 732514 860190 1032228 1076430 1098771 1290285 1291716 1465028 1614645 1720380 1831285 2152860 2197542 2580570 3229290 3296313 3662570 4395084 5161140 5493855 6458580 6592626 7325140 10987710 13185252 16481565 19411621 21975420 32963130 38823242 58234863 65926260 77646484 97058105 116469726 174704589 194116210 232939452 291174315 349409178 388232420 582348630 698818356 873522945 1164697260 1747045890 3494091780