Search a number
-
+
345252024 = 233313122953
BaseRepresentation
bin10100100101000…
…010000010111000
3220001122121202000
4110211002002320
51201341031044
654131541000
711361410445
oct2445020270
9801577660
10345252024
11167981a57
129775a760
13566b3050
1433bd29cc
152049bd69
hex149420b8

345252024 has 64 divisors (see below), whose sum is σ = 1032813600. Its totient is φ = 106230528.

The previous prime is 345251999. The next prime is 345252043. The reversal of 345252024 is 420252543.

It is a happy number.

345252024 is a `hidden beast` number, since 3 + 452 + 5 + 202 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58669 + ... + 64284.

Almost surely, 2345252024 is an apocalyptic number.

It is an amenable number.

345252024 is an abundant number, since it is smaller than the sum of its proper divisors (687561576).

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

345252024 is a wasteful number, since it uses less digits than its factorization.

345252024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122981 (or 122971 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 345252024 is about 18580.9586405008. The cubic root of 345252024 is about 701.5286484484.

The spelling of 345252024 in words is "three hundred forty-five million, two hundred fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 122953 245906 368859 491812 737718 983624 1106577 1475436 1598389 2213154 2950872 3196778 3319731 4426308 4795167 6393556 6639462 8852616 9590334 12787112 13278924 14385501 19180668 26557848 28771002 38361336 43156503 57542004 86313006 115084008 172626012 345252024