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334132553764 = 222890212
BaseRepresentation
bin1001101110010111101…
…10100010100000100100
31011221110021100102011001
410313023312202200210
520433300413210024
6413255352123044
733066054563032
oct4671366424044
91157407312131
10334132553764
11119783130119
1254910396484
132567c416399
141225a367552
158a58ee3244
hex4dcbda2824

334132553764 has 9 divisors (see below), whose sum is σ = 584733992241. Its totient is φ = 167065698840.

The previous prime is 334132553693. The next prime is 334132553767. The reversal of 334132553764 is 467355231433.

It is a happy number.

The square root of 334132553764 is 578042.

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

It can be written as a sum of positive squares in only one way, i.e., 93365691364 + 240766862400 = 305558^2 + 490680^2 .

It is a super-3 number, since 3×3341325537643 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334132553767) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1011574 + ... + 1300594.

Almost surely, 2334132553764 is an apocalyptic number.

334132553764 is the 578042-nd square number.

It is an amenable number.

334132553764 is a deficient number, since it is larger than the sum of its proper divisors (250601438477).

334132553764 is an frugal number, since it uses more digits than its factorization.

334132553764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578046 (or 289023 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 46.

The spelling of 334132553764 in words is "three hundred thirty-four billion, one hundred thirty-two million, five hundred fifty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 289021 578042 1156084 83533138441 167066276882 334132553764