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354355040 = 25513170363
BaseRepresentation
bin10101000111110…
…000011101100000
3220200210002201202
4111013300131200
51211203330130
655055020332
711531653034
oct2507603540
9820702652
10354355040
1117202a206
129a80a6a8
135854c550
14350c21c4
1521199145
hex151f0760

354355040 has 48 divisors (see below), whose sum is σ = 901566288. Its totient is φ = 130838016.

The previous prime is 354355037. The next prime is 354355051. The reversal of 354355040 is 40553453.

It is a junction number, because it is equal to n+sod(n) for n = 354354994 and 354355012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83102 + ... + 87261.

It is an arithmetic number, because the mean of its divisors is an integer number (18782631).

Almost surely, 2354355040 is an apocalyptic number.

It is an amenable number.

354355040 is an abundant number, since it is smaller than the sum of its proper divisors (547211248).

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

354355040 is a wasteful number, since it uses less digits than its factorization.

354355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170391 (or 170383 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 354355040 is about 18824.3204392615. The cubic root of 354355040 is about 707.6408107068.

The spelling of 354355040 in words is "three hundred fifty-four million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 170363 340726 681452 851815 1362904 1703630 2214719 2725808 3407260 4429438 5451616 6814520 8858876 11073595 13629040 17717752 22147190 27258080 35435504 44294380 70871008 88588760 177177520 354355040