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345672500 = 2254372101
BaseRepresentation
bin10100100110101…
…000101100110100
3220002102222112012
4110212220230310
51201443010000
654144543352
711365111355
oct2446505464
9802388465
10345672500
11168139958
1297921b58
13567cc554
1433ca1d2c
1520531735
hex149a8b34

345672500 has 90 divisors (see below), whose sum is σ = 784591038. Its totient is φ = 133200000.

The previous prime is 345672499. The next prime is 345672521. The reversal of 345672500 is 5276543.

It can be written as a sum of positive squares in 15 ways, for example, as 148157584 + 197514916 = 12172^2 + 14054^2 .

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 3422450 + ... + 3422550.

Almost surely, 2345672500 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 345672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392295519).

345672500 is an abundant number, since it is smaller than the sum of its proper divisors (438918538).

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

345672500 is a wasteful number, since it uses less digits than its factorization.

345672500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 345672500 is about 18592.2698990736. The cubic root of 345672500 is about 701.8133257970.

The spelling of 345672500 in words is "three hundred forty-five million, six hundred seventy-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 101 125 148 185 202 250 370 404 500 505 625 740 925 1010 1250 1369 1850 2020 2500 2525 2738 3700 3737 4625 5050 5476 6845 7474 9250 10100 12625 13690 14948 18500 18685 23125 25250 27380 34225 37370 46250 50500 63125 68450 74740 92500 93425 126250 136900 138269 171125 186850 252500 276538 342250 373700 467125 553076 684500 691345 855625 934250 1382690 1711250 1868500 2335625 2765380 3422500 3456725 4671250 6913450 9342500 13826900 17283625 34567250 69134500 86418125 172836250 345672500