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334980500625 = 325477172
BaseRepresentation
bin1001101111111100110…
…01001100110010010001
31012000122100220120120100
410313332121030302101
520442020002010000
6413515442403013
733126062163231
oct4677631146221
91160570816510
10334980500625
1111a07883a151
1254b08360469
1325785cb5ca4
14122dac13cc1
158aa868ba00
hex4dfe64cc91

334980500625 has 45 divisors (see below), whose sum is σ = 604710720471. Its totient is φ = 178633116000.

The previous prime is 334980500581. The next prime is 334980500653. The reversal of 334980500625 is 526005089433.

The square root of 334980500625 is 578775.

It is a perfect power (a square), and thus also a powerful number.

334980500625 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 80 + 500 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 260182626561 + 74797874064 = 510081^2 + 273492^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2k-334980500625 is a prime.

It is a super-2 number, since 2×3349805006252 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43404267 + ... + 43411983.

Almost surely, 2334980500625 is an apocalyptic number.

334980500625 is the 578775-th square number.

334980500625 is the 289388-th centered octagonal number.

It is an amenable number.

334980500625 is a deficient number, since it is larger than the sum of its proper divisors (269730219846).

334980500625 is an frugal number, since it uses more digits than its factorization.

334980500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15460 (or 7725 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 334980500625 in words is "three hundred thirty-four billion, nine hundred eighty million, five hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 7717 23151 38585 69453 115755 192925 347265 578775 964625 1736325 2893875 4823125 8681625 14469375 43408125 59552089 178656267 297760445 535968801 893281335 1488802225 2679844005 4466406675 7444011125 13399220025 22332033375 37220055625 66996100125 111660166875 334980500625