Search a number
-
+
3401102580 = 2235611635701
BaseRepresentation
bin1100101010111000…
…1011010011110100
322210000202220122020
43022232023103310
523431140240310
61321253233140
7150165615651
oct31256132364
98700686566
103401102580
111495919787
127ab0327b0
13422820945
142439b6c28
1514d8c4170
hexcab8b4f4

3401102580 has 96 divisors (see below), whose sum is σ = 9740293248. Its totient is φ = 886464000.

The previous prime is 3401102557. The next prime is 3401102611. The reversal of 3401102580 is 852011043.

It is a self number, because there is not a number n which added to its sum of digits gives 3401102580.

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 31 ways as a sum of consecutive naturals, for example, 593730 + ... + 599430.

It is an arithmetic number, because the mean of its divisors is an integer number (101461388).

Almost surely, 23401102580 is an apocalyptic number.

3401102580 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 3401102580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870146624).

3401102580 is an abundant number, since it is smaller than the sum of its proper divisors (6339190668).

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

3401102580 is a wasteful number, since it uses less digits than its factorization.

3401102580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 3401102580 is about 58318.9727275781. The cubic root of 3401102580 is about 1503.8571221268.

The spelling of 3401102580 in words is "three billion, four hundred one million, one hundred two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 163 183 244 305 326 366 489 610 652 732 815 915 978 1220 1630 1830 1956 2445 3260 3660 4890 5701 9780 9943 11402 17103 19886 22804 28505 29829 34206 39772 49715 57010 59658 68412 85515 99430 114020 119316 149145 171030 198860 298290 342060 347761 596580 695522 929263 1043283 1391044 1738805 1858526 2086566 2787789 3477610 3717052 4173132 4646315 5216415 5575578 6955220 9292630 10432830 11151156 13938945 18585260 20865660 27877890 55755780 56685043 113370086 170055129 226740172 283425215 340110258 566850430 680220516 850275645 1133700860 1700551290 3401102580