Search a number
-
+
345887692444 = 227371669200041
BaseRepresentation
bin1010000100010001000…
…00110101011010011100
31020001210111201022220201
411002020200311122130
521131334222124234
6422522033353244
733663263606260
oct5021040653234
91201714638821
10345887692444
11123765648868
1257051108824
1326803917448
1412a536460a0
158ee5ee7314
hex508883569c

345887692444 has 48 divisors (see below), whose sum is σ = 710901257920. Its totient is φ = 144144023040.

The previous prime is 345887692439. The next prime is 345887692471. The reversal of 345887692444 is 444296788543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629064 + ... + 1829104.

Almost surely, 2345887692444 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 345887692444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355450628960).

345887692444 is an abundant number, since it is smaller than the sum of its proper divisors (365013565476).

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

345887692444 is a wasteful number, since it uses less digits than its factorization.

345887692444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201758 (or 201756 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 64.

The spelling of 345887692444 in words is "three hundred forty-five billion, eight hundred eighty-seven million, six hundred ninety-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036 1669 3338 6676 11683 23366 46732 61753 123506 200041 247012 400082 432271 800164 864542 1400287 1729084 2800574 5601148 7401517 14803034 29606068 51810619 103621238 207242476 333868429 667736858 1335473716 2337079003 4674158006 9348316012 12353131873 24706263746 49412527492 86471923111 172943846222 345887692444