Search a number
-
+
345032544 = 25317533989
BaseRepresentation
bin10100100100001…
…100011101100000
3220001020110200010
4110210030131200
51201312020134
654123124520
711356504533
oct2444143540
9801213603
10345032544
1116784206a
1297673740
135663718c
1433b76a1a
1520456ce9
hex1490c760

345032544 has 96 divisors (see below), whose sum is σ = 977326560. Its totient is φ = 106176512.

The previous prime is 345032539. The next prime is 345032549. The reversal of 345032544 is 445230543.

It is an interprime number because it is at equal distance from previous prime (345032539) and next prime (345032549).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3450325442 = 238094912838223872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345032549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84502 + ... + 88490.

It is an arithmetic number, because the mean of its divisors is an integer number (10180485).

Almost surely, 2345032544 is an apocalyptic number.

345032544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345032544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488663280).

345032544 is an abundant number, since it is smaller than the sum of its proper divisors (632294016).

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

345032544 is a wasteful number, since it uses less digits than its factorization.

345032544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 345032544 is about 18575.0516553791. The cubic root of 345032544 is about 701.3799607887.

The spelling of 345032544 in words is "three hundred forty-five million, thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 3604 3989 5088 5406 7208 7978 10812 11967 14416 15956 21624 23934 28832 31912 43248 47868 63824 67813 86496 95736 127648 135626 191472 203439 211417 271252 382944 406878 422834 542504 634251 813756 845668 1085008 1268502 1627512 1691336 2170016 2537004 3255024 3382672 3594089 5074008 6510048 6765344 7188178 10148016 10782267 14376356 20296032 21564534 28752712 43129068 57505424 86258136 115010848 172516272 345032544