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3327620080 = 2452913110949
BaseRepresentation
bin1100011001010111…
…0111001111110000
322120220111121121011
43012111313033300
523303332320310
61310110240304
7145314206161
oct30625671760
98526447534
103327620080
11145839a244
1278a4b6094
13410532c85
14237d29768
1514720b78a
hexc65773f0

3327620080 has 80 divisors (see below), whose sum is σ = 8065332000. Its totient is φ = 1275223040.

The previous prime is 3327620077. The next prime is 3327620083. The reversal of 3327620080 is 800267233.

It is an interprime number because it is at equal distance from previous prime (3327620077) and next prime (3327620083).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33276200802 = 22146110793638412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3327620083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298446 + ... + 309394.

It is an arithmetic number, because the mean of its divisors is an integer number (100816650).

Almost surely, 23327620080 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 3327620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032666000).

3327620080 is an abundant number, since it is smaller than the sum of its proper divisors (4737711920).

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

3327620080 is a wasteful number, since it uses less digits than its factorization.

3327620080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3327620080 is about 57685.5274744021. The cubic root of 3327620080 is about 1492.9476474383.

The spelling of 3327620080 in words is "three billion, three hundred twenty-seven million, six hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 131 145 232 262 290 464 524 580 655 1048 1160 1310 2096 2320 2620 3799 5240 7598 10480 10949 15196 18995 21898 30392 37990 43796 54745 60784 75980 87592 109490 151960 175184 218980 303920 317521 437960 635042 875920 1270084 1434319 1587605 2540168 2868638 3175210 5080336 5737276 6350420 7171595 11474552 12700840 14343190 22949104 25401680 28686380 41595251 57372760 83190502 114745520 166381004 207976255 332762008 415952510 665524016 831905020 1663810040 3327620080