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3450405205404 = 22324911429136601
BaseRepresentation
bin110010001101011100001…
…011010011010110011100
3110012212002200010101101100
4302031130023103112130
5423012412213033104
611201032210113100
7504166154222523
oct62153413232634
913185080111340
103450405205404
111110343871a23
1247886587b790
131c04aab52971
14bd0015474ba
155eb46373139
hex3235c2d359c

3450405205404 has 72 divisors (see below), whose sum is σ = 8745800983920. Its totient is φ = 1146981024000.

The previous prime is 3450405205369. The next prime is 3450405205463. The reversal of 3450405205404 is 4045025040543.

3450405205404 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 40 + 5 + 205 + 404 = 666.

3450405205404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25190704 + ... + 25327304.

It is an arithmetic number, because the mean of its divisors is an integer number (121469458110).

Almost surely, 23450405205404 is an apocalyptic number.

It is an amenable number.

3450405205404 is an abundant number, since it is smaller than the sum of its proper divisors (5295395778516).

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

3450405205404 is a wasteful number, since it uses less digits than its factorization.

3450405205404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138531 (or 138526 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 3450405205404 in words is "three trillion, four hundred fifty billion, four hundred five million, two hundred five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 491 982 1429 1473 1964 2858 2946 4287 4419 5716 5892 8574 8838 12861 17148 17676 25722 51444 136601 273202 409803 546404 701639 819606 1229409 1403278 1639212 2104917 2458818 2806556 4209834 4917636 6314751 8419668 12629502 25259004 67071091 134142182 195202829 201213273 268284364 390405658 402426546 585608487 603639819 780811316 804853092 1171216974 1207279638 1756825461 2342433948 2414559276 3513650922 7027301844 95844589039 191689178078 287533767117 383378356156 575067534234 862601301351 1150135068468 1725202602702 3450405205404