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3486040700 = 2252299911213
BaseRepresentation
bin1100111111001000…
…1100001001111100
322222221121012211112
43033302030021330
524114411300300
61333525541152
7152246566652
oct31762141174
98887535745
103486040700
111529862a7a
128135747b8
134372bc89c
14250da6dd2
151560a0e35
hexcfc8c27c

3486040700 has 72 divisors (see below), whose sum is σ = 7839914880. Its totient is φ = 1343865600.

The previous prime is 3486040687. The next prime is 3486040741. The reversal of 3486040700 is 70406843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2873294 + ... + 2874506.

Almost surely, 23486040700 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 3486040700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919957440).

3486040700 is an abundant number, since it is smaller than the sum of its proper divisors (4353874180).

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

3486040700 is a wasteful number, since it uses less digits than its factorization.

3486040700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 3486040700 is about 59042.7023433040. The cubic root of 3486040700 is about 1516.2732890075.

The spelling of 3486040700 in words is "three billion, four hundred eighty-six million, forty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 991 1213 1450 1982 2426 2900 3964 4852 4955 6065 9910 12130 19820 24260 24775 28739 30325 35177 49550 57478 60650 70354 99100 114956 121300 140708 143695 175885 287390 351770 574780 703540 718475 879425 1202083 1436950 1758850 2404166 2873900 3517700 4808332 6010415 12020830 24041660 30052075 34860407 60104150 69720814 120208300 139441628 174302035 348604070 697208140 871510175 1743020350 3486040700