Search a number
-
+
354355000 = 2354131541
BaseRepresentation
bin10101000111110…
…000011100111000
3220200210002200021
4111013300130320
51211203330000
655055020224
711531652646
oct2507603470
9820702607
10354355000
1117202a17a
129a80a674
135854c51c
14350c2196
152119911a
hex151f0738

354355000 has 80 divisors (see below), whose sum is σ = 838137960. Its totient is φ = 140400000.

The previous prime is 354354961. The next prime is 354355007. The reversal of 354355000 is 553453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354355007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 654730 + ... + 655270.

Almost surely, 2354355000 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 354355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419068980).

354355000 is an abundant number, since it is smaller than the sum of its proper divisors (483782960).

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

354355000 is a wasteful number, since it uses less digits than its factorization.

354355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 354355000 is about 18824.3193768062. The cubic root of 354355000 is about 707.6407840803.

The spelling of 354355000 in words is "three hundred fifty-four million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 541 625 655 1000 1048 1082 1250 1310 2164 2500 2620 2705 3275 4328 5000 5240 5410 6550 10820 13100 13525 16375 21640 26200 27050 32750 54100 65500 67625 70871 81875 108200 131000 135250 141742 163750 270500 283484 327500 338125 354355 541000 566968 655000 676250 708710 1352500 1417420 1771775 2705000 2834840 3543550 7087100 8858875 14174200 17717750 35435500 44294375 70871000 88588750 177177500 354355000