Search a number
-
+
345001251 = 37136112071
BaseRepresentation
bin10100100100000…
…100110100100011
3220001011212202010
4110210010310203
51201310020001
654122324003
711356314360
oct2444046443
9801155663
10345001251
11167820601
1297659603
1356625b6a
1433b69467
152044c8d6
hex14904d23

345001251 has 16 divisors (see below), whose sum is σ = 526146048. Its totient is φ = 196982400.

The previous prime is 345001249. The next prime is 345001253. The reversal of 345001251 is 152100543.

It is an interprime number because it is at equal distance from previous prime (345001249) and next prime (345001253).

It is not a de Polignac number, because 345001251 - 21 = 345001249 is a prime.

It is a super-3 number, since 3×3450012513 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (345001253) 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, 22546 + ... + 34616.

It is an arithmetic number, because the mean of its divisors is an integer number (32884128).

Almost surely, 2345001251 is an apocalyptic number.

345001251 is a deficient number, since it is larger than the sum of its proper divisors (181144797).

345001251 is a wasteful number, since it uses less digits than its factorization.

345001251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 345001251 is about 18574.2092967642. The cubic root of 345001251 is about 701.3587560772.

Adding to 345001251 its reverse (152100543), we get a palindrome (497101794).

The spelling of 345001251 in words is "three hundred forty-five million, one thousand, two hundred fifty-one".

Divisors: 1 3 7 21 1361 4083 9527 12071 28581 36213 84497 253491 16428631 49285893 115000417 345001251