Search a number
-
+
353425680 = 2434554541
BaseRepresentation
bin10101000100001…
…101100100010000
3220122000212220000
4111010031210100
51210434110210
655023050000
711521032366
oct2504154420
9818025800
10353425680
11171554a43
129a440900
13582b552a
1434d1d636
1521063ac0
hex1510d910

353425680 has 100 divisors (see below), whose sum is σ = 1227522252. Its totient is φ = 94245120.

The previous prime is 353425663. The next prime is 353425741. The reversal of 353425680 is 86524353.

It is a happy number.

353425680 is a `hidden beast` number, since 3 + 53 + 42 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 297355536 = 7488^2 + 17244^2 .

It is a super-2 number, since 2×3534256802 = 249819422566924800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20791 + ... + 33750.

Almost surely, 2353425680 is an apocalyptic number.

353425680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353425680 is an abundant number, since it is smaller than the sum of its proper divisors (874096572).

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

353425680 is a wasteful number, since it uses less digits than its factorization.

353425680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54566 (or 54551 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 353425680 is about 18799.6191450784. The cubic root of 353425680 is about 707.0216305375.

The spelling of 353425680 in words is "three hundred fifty-three million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 54541 109082 163623 218164 272705 327246 436328 490869 545410 654492 818115 872656 981738 1090820 1308984 1472607 1636230 1963476 2181640 2454345 2617968 2945214 3272460 3926952 4363280 4417821 4908690 5890428 6544920 7363035 7853904 8835642 9817380 11780856 13089840 14726070 17671284 19634760 22089105 23561712 29452140 35342568 39269520 44178210 58904280 70685136 88356420 117808560 176712840 353425680