Search a number
-
+
342152010 = 23254721721
BaseRepresentation
bin10100011001001…
…101001101001010
3212211211010022200
4110121031031022
51200042331020
653541301030
711323146504
oct2431151512
9784733280
10342152010
11166154962
1296704776
1355b69015
1433626d74
1520088590
hex1464d34a

342152010 has 72 divisors (see below), whose sum is σ = 909453636. Its totient is φ = 89247360.

The previous prime is 342151993. The next prime is 342152023. The reversal of 342152010 is 10251243.

It can be written as a sum of positive squares in 2 ways, for example, as 341177841 + 974169 = 18471^2 + 987^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 197950 + ... + 199670.

Almost surely, 2342152010 is an apocalyptic number.

342152010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342152010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454726818).

342152010 is an abundant number, since it is smaller than the sum of its proper divisors (567301626).

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

342152010 is a wasteful number, since it uses less digits than its factorization.

342152010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 342152010 is about 18497.3514320294. The cubic root of 342152010 is about 699.4226600118.

The spelling of 342152010 in words is "three hundred forty-two million, one hundred fifty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 1721 2115 2209 3442 4230 4418 5163 6627 8605 10326 11045 13254 15489 17210 19881 22090 25815 30978 33135 39762 51630 66270 77445 80887 99405 154890 161774 198810 242661 404435 485322 727983 808870 1213305 1455966 2426610 3639915 3801689 7279830 7603378 11405067 19008445 22810134 34215201 38016890 57025335 68430402 114050670 171076005 342152010