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3376138320 = 24345521009
BaseRepresentation
bin1100100100111011…
…1100100001010000
322201021210121010000
43021032330201100
523403242411240
61315002210000
7146443462602
oct31116744120
98637717100
103376138320
111482818765
127a27b3900
1341a5bcaa9
14240559172
1514b5e2430
hexc93bc850

3376138320 has 100 divisors (see below), whose sum is σ = 11725851060. Its totient is φ = 900301824.

The previous prime is 3376138313. The next prime is 3376138321. The reversal of 3376138320 is 238316733.

It is a happy number.

3376138320 is a `hidden beast` number, since 3 + 3 + 7 + 613 + 8 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1229484096 + 2146654224 = 35064^2 + 46332^2 .

It is a super-2 number, since 2×33761383202 = 22796619911544844800, 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 (3376138321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 254025 + ... + 266984.

Almost surely, 23376138320 is an apocalyptic number.

3376138320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3376138320 is an abundant number, since it is smaller than the sum of its proper divisors (8349712740).

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

3376138320 is a wasteful number, since it uses less digits than its factorization.

3376138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521034 (or 521019 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3376138320 is about 58104.5464658317. The cubic root of 3376138320 is about 1500.1686210439.

The spelling of 3376138320 in words is "three billion, three hundred seventy-six million, one hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 521009 1042018 1563027 2084036 2605045 3126054 4168072 4689081 5210090 6252108 7815135 8336144 9378162 10420180 12504216 14067243 15630270 18756324 20840360 23445405 25008432 28134486 31260540 37512648 41680720 42201729 46890810 56268972 62521080 70336215 75025296 84403458 93781620 112537944 125042160 140672430 168806916 187563240 211008645 225075888 281344860 337613832 375126480 422017290 562689720 675227664 844034580 1125379440 1688069160 3376138320