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354400040 = 23583106747
BaseRepresentation
bin10101000111111…
…011011100101000
3220200212101110102
4111013323130220
51211211300130
655100004532
711532231161
oct2507733450
9820771412
10354400040
1117205aaa5
129a830748
1358566b87
14350d4768
15211a7645
hex151fb728

354400040 has 32 divisors (see below), whose sum is σ = 807014880. Its totient is φ = 140050752.

The previous prime is 354400019. The next prime is 354400043. The reversal of 354400040 is 40004453.

It is a happy number.

354400040 is digitally balanced in base 3, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 354399985 and 354400021.

It is not an unprimeable number, because it can be changed into a prime (354400043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50054 + ... + 56693.

It is an arithmetic number, because the mean of its divisors is an integer number (25219215).

Almost surely, 2354400040 is an apocalyptic number.

It is an amenable number.

354400040 is an abundant number, since it is smaller than the sum of its proper divisors (452614840).

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

354400040 is a wasteful number, since it uses less digits than its factorization.

354400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106841 (or 106837 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 354400040 is about 18825.5156635881. The cubic root of 354400040 is about 707.6707641762.

Adding to 354400040 its reverse (40004453), we get a palindrome (394404493).

The spelling of 354400040 in words is "three hundred fifty-four million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 106747 213494 426988 533735 853976 1067470 2134940 4269880 8860001 17720002 35440004 44300005 70880008 88600010 177200020 354400040