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152144034 = 23723295431
BaseRepresentation
bin10010001000110…
…00100010100010
3101121021201101020
421010120202202
5302422102114
623032550310
73525126420
oct1104304242
9347251336
10152144034
1178977079
1242b52396
132569ca73
14162c6110
15d554aa9
hex91188a2

152144034 has 64 divisors (see below), whose sum is σ = 375459840. Its totient is φ = 40138560.

The previous prime is 152144021. The next prime is 152144051. The reversal of 152144034 is 430441251.

It is a super-3 number, since 3×1521440343 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152143995 and 152144013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25299 + ... + 30729.

It is an arithmetic number, because the mean of its divisors is an integer number (5866560).

Almost surely, 2152144034 is an apocalyptic number.

152144034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152144034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187729920).

152144034 is an abundant number, since it is smaller than the sum of its proper divisors (223315806).

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

152144034 is a wasteful number, since it uses less digits than its factorization.

152144034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 152144034 is about 12334.6679728317. The cubic root of 152144034 is about 533.8488469495.

Adding to 152144034 its reverse (430441251), we get a palindrome (582585285).

The spelling of 152144034 in words is "one hundred fifty-two million, one hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 203 322 406 483 609 667 966 1218 1334 2001 4002 4669 5431 9338 10862 14007 16293 28014 32586 38017 76034 114051 124913 157499 228102 249826 314998 374739 472497 749478 874391 944994 1102493 1748782 2204986 2623173 3307479 3622477 5246346 6614958 7244954 10867431 21734862 25357339 50714678 76072017 152144034