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3325114368 = 2113360133
BaseRepresentation
bin1100011000110001…
…0011100000000000
322120201210022102000
43012030103200000
523302212124433
61305540424000
7145254001662
oct30614234000
98521708360
103325114368
111456a38704
127896a8000
1340cb665c4
14237876532
15146db4113
hexc6313800

3325114368 has 96 divisors (see below), whose sum is σ = 9849949200. Its totient is φ = 1108353024.

The previous prime is 3325114367. The next prime is 3325114369. The reversal of 3325114368 is 8634115233.

3325114368 is a `hidden beast` number, since 33 + 251 + 14 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (3325114367) and next prime (3325114369).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33251143682 = 22112771120560078848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325114367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25230 + ... + 85362.

Almost surely, 23325114368 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 3325114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924974600).

3325114368 is an abundant number, since it is smaller than the sum of its proper divisors (6524834832).

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

3325114368 is an equidigital number, since it uses as much as digits as its factorization.

3325114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60164 (or 60138 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3325114368 is about 57663.8046611564. The cubic root of 3325114368 is about 1492.5728213755.

The spelling of 3325114368 in words is "three billion, three hundred twenty-five million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 60133 120266 180399 240532 360798 481064 541197 721596 962128 1082394 1443192 1623591 1924256 2164788 2886384 3247182 3848512 4329576 5772768 6494364 7697024 8659152 11545536 12988728 15394048 17318304 23091072 25977456 30788096 34636608 46182144 51954912 61576192 69273216 92364288 103909824 123152384 138546432 184728576 207819648 277092864 369457152 415639296 554185728 831278592 1108371456 1662557184 3325114368