Search a number
-
+
341154132 = 2231131263317
BaseRepresentation
bin10100010101011…
…001100101010100
3212202221102111020
4110111121211110
51144313413012
653504041140
711311522314
oct2425314524
9782842436
10341154132
11165633170
12963031b0
13558a9a67
1433447444
151ee3ca8c
hex14559954

341154132 has 96 divisors (see below), whose sum is σ = 902651904. Its totient is φ = 99350400.

The previous prime is 341154127. The next prime is 341154137. The reversal of 341154132 is 231451143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (341154127) and next prime (341154137).

It is a super-2 number, since 2×3411541322 = 232772283561346848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341154137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1076038 + ... + 1076354.

It is an arithmetic number, because the mean of its divisors is an integer number (9402624).

Almost surely, 2341154132 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 341154132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451325952).

341154132 is an abundant number, since it is smaller than the sum of its proper divisors (561497772).

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

341154132 is a wasteful number, since it uses less digits than its factorization.

341154132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 341154132 is about 18470.3581990171. The cubic root of 341154132 is about 698.7420482047.

The spelling of 341154132 in words is "three hundred forty-one million, one hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 263 317 341 372 526 634 682 789 951 1023 1052 1268 1364 1578 1902 2046 2893 3156 3487 3804 4092 5786 6974 8153 8679 9827 10461 11572 13948 16306 17358 19654 20922 24459 29481 32612 34716 39308 41844 48918 58962 83371 89683 97836 108097 117924 166742 179366 216194 250113 269049 324291 333484 358732 432388 500226 538098 648582 917081 1000452 1076196 1297164 1834162 2584501 2751243 3668324 5169002 5502486 7753503 10338004 11004972 15507006 28429511 31014012 56859022 85288533 113718044 170577066 341154132