Search a number
-
+
343545136 = 24112292211
BaseRepresentation
bin10100011110100…
…001010100110000
3212221102220022221
4110132201110300
51200421421021
654031210424
711341041214
oct2436412460
9787386287
10343545136
11166a16600
1297076a14
135623615c
14338aa944
1520261241
hex147a1530

343545136 has 90 divisors (see below), whose sum is σ = 761320196. Its totient is φ = 150057600.

The previous prime is 343545133. The next prime is 343545143. The reversal of 343545136 is 631545343.

It is not an unprimeable number, because it can be changed into a prime (343545133) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1628071 + ... + 1628281.

Almost surely, 2343545136 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 343545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380660098).

343545136 is an abundant number, since it is smaller than the sum of its proper divisors (417775060).

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

343545136 is a wasteful number, since it uses less digits than its factorization.

343545136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 253 counting only the distinct ones).

The product of its digits is 64800, while the sum is 34.

The square root of 343545136 is about 18534.9706231221. The cubic root of 343545136 is about 700.3706445283.

The spelling of 343545136 in words is "three hundred forty-three million, five hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 211 232 242 319 422 464 484 638 841 844 968 1276 1682 1688 1936 2321 2552 3364 3376 3509 4642 5104 6119 6728 7018 9251 9284 12238 13456 14036 18502 18568 24476 25531 28072 37004 37136 48952 51062 56144 67309 74008 97904 101761 102124 134618 148016 177451 203522 204248 269236 354902 407044 408496 538472 709804 740399 814088 1076944 1419608 1480798 1628176 1951961 2839216 2961596 3903922 5923192 7807844 11846384 15615688 21471571 31231376 42943142 85886284 171772568 343545136