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3497041680 = 2435113735801
BaseRepresentation
bin1101000001110000…
…1001111100010000
3100000201022010100020
43100130021330100
524130220313210
61335001423440
7152442235536
oct32034117420
910021263306
103497041680
111534a971a0
1281719ab80
13439671c42
1425262c156
15157025770
hexd0709f10

3497041680 has 160 divisors (see below), whose sum is σ = 12146329728. Its totient is φ = 824832000.

The previous prime is 3497041673. The next prime is 3497041711. The reversal of 3497041680 is 861407943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79780 + ... + 115580.

Almost surely, 23497041680 is an apocalyptic number.

3497041680 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 3497041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073164864).

3497041680 is an abundant number, since it is smaller than the sum of its proper divisors (8649288048).

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

3497041680 is a wasteful number, since it uses less digits than its factorization.

3497041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35865 (or 35859 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3497041680 is about 59135.7901781992. The cubic root of 3497041680 is about 1517.8665938404.

The spelling of 3497041680 in words is "three billion, four hundred ninety-seven million, forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 35801 48840 71602 97680 107403 143204 179005 214806 286408 358010 393811 429612 537015 572816 716020 787622 859224 1074030 1181433 1324637 1432040 1575244 1718448 1969055 2148060 2362866 2649274 2864080 3150488 3938110 3973911 4296120 4725732 5298548 5907165 6300976 6623185 7876220 7947822 8592240 9451464 10597096 11814330 13246370 14571007 15752440 15895644 18902928 19869555 21194192 23628660 26492740 29142014 31504880 31791288 39739110 43713021 47257320 52985480 58284028 63582576 72855035 79478220 87426042 94514640 105970960 116568056 145710070 158956440 174852084 218565105 233136112 291420140 317912880 349704168 437130210 582840280 699408336 874260420 1165680560 1748520840 3497041680