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334033137936 = 2432481632
BaseRepresentation
bin1001101110001011110…
…11010011000100010000
31011221012100021120021100
410313011323103010100
520433044440403221
6413241441224400
733063436553001
oct4670573230420
91157170246240
10334033137936
11119731aa8583
12548a3032100
1325664948754
141224b0891a8
158a50406926
hex4dc5ed3110

334033137936 has 45 divisors (see below), whose sum is σ = 934848261399. Its totient is φ = 111342067488.

The previous prime is 334033137923. The next prime is 334033137959. The reversal of 334033137936 is 639731330433.

The square root of 334033137936 is 577956.

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

It is a super-2 number, since 2×3340331379362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334033137891 and 334033137900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6911391 + ... + 6959553.

Almost surely, 2334033137936 is an apocalyptic number.

334033137936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

334033137936 is the 577956-th square number.

It is an amenable number.

334033137936 is an abundant number, since it is smaller than the sum of its proper divisors (600815123463).

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

334033137936 is an frugal number, since it uses more digits than its factorization.

334033137936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96340 (or 48168 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 45.

It can be divided in two parts, 334033 and 137936, that added together give a square (471969 = 6872).

The spelling of 334033137936 in words is "three hundred thirty-four billion, thirty-three million, one hundred thirty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 48163 96326 144489 192652 288978 385304 433467 577956 770608 866934 1155912 1733868 2311824 3467736 6935472 2319674569 4639349138 6959023707 9278698276 13918047414 18557396552 20877071121 27836094828 37114793104 41754142242 55672189656 83508284484 111344379312 167016568968 334033137936