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34054152320 = 27553209613
BaseRepresentation
bin11111101101110010…
…010010000010000000
310020220021220011211202
4133231302102002000
51024220330333240
623351054400332
72313615342626
oct375562220200
9106807804752
1034054152320
1113495754741
1267248000a8
133299296bb6
141910a57516
15d449e9315
hex7edc92080

34054152320 has 32 divisors (see below), whose sum is σ = 81410709420. Its totient is φ = 13621660672.

The previous prime is 34054152311. The next prime is 34054152323. The reversal of 34054152320 is 2325145043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31817997376 + 2236154944 = 178376^2 + 47288^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×340541523202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34054152323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26604167 + ... + 26605446.

Almost surely, 234054152320 is an apocalyptic number.

It is an amenable number.

34054152320 is an abundant number, since it is smaller than the sum of its proper divisors (47356557100).

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

34054152320 is an equidigital number, since it uses as much as digits as its factorization.

34054152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53209632 (or 53209620 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 34054152320 its reverse (2325145043), we get a palindrome (36379297363).

The spelling of 34054152320 in words is "thirty-four billion, fifty-four million, one hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 53209613 106419226 212838452 266048065 425676904 532096130 851353808 1064192260 1702707616 2128384520 3405415232 4256769040 6810830464 8513538080 17027076160 34054152320