Search a number
-
+
354344340 = 22357843677
BaseRepresentation
bin10101000111101…
…101110110010100
3220200202120001110
4111013231312110
51211203004330
655054455020
711531606610
oct2507556624
9820676043
10354344340
11172022169
129a804470
135854770c
14350bc340
1521195db0
hex151edd94

354344340 has 48 divisors (see below), whose sum is σ = 1133903232. Its totient is φ = 80992896.

The previous prime is 354344339. The next prime is 354344363. The reversal of 354344340 is 43443453.

It is a super-2 number, since 2×3543443402 = 251119822580071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 354344298 and 354344307.

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, 421419 + ... + 422258.

It is an arithmetic number, because the mean of its divisors is an integer number (23622984).

Almost surely, 2354344340 is an apocalyptic number.

354344340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354344340 is an abundant number, since it is smaller than the sum of its proper divisors (779558892).

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

354344340 is a wasteful number, since it uses less digits than its factorization.

354344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843696 (or 843694 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 354344340 is about 18824.0362303094. The cubic root of 354344340 is about 707.6336880642.

Adding to 354344340 its reverse (43443453), we get a palindrome (397787793).

The spelling of 354344340 in words is "three hundred fifty-four million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 843677 1687354 2531031 3374708 4218385 5062062 5905739 8436770 10124124 11811478 12655155 16873540 17717217 23622956 25310310 29528695 35434434 50620620 59057390 70868868 88586085 118114780 177172170 354344340