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381879108 = 2232132713011
BaseRepresentation
bin10110110000110…
…000001101000100
3222121120110122200
4112300300031010
51240230112413
6101520554500
712314630112
oct2660601504
9877513580
10381879108
11186619476
12a7a82a30
1361168590
1438a08ab2
15237d4573
hex16c30344

381879108 has 72 divisors (see below), whose sum is σ = 1043742336. Its totient is φ = 117028800.

The previous prime is 381879101. The next prime is 381879131. The reversal of 381879108 is 801978183.

It is not an unprimeable number, because it can be changed into a prime (381879101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125323 + ... + 128333.

Almost surely, 2381879108 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 381879108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521871168).

381879108 is an abundant number, since it is smaller than the sum of its proper divisors (661863228).

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

381879108 is a wasteful number, since it uses less digits than its factorization.

381879108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 381879108 is about 19541.7273545611. The cubic root of 381879108 is about 725.5076004519.

The spelling of 381879108 in words is "three hundred eighty-one million, eight hundred seventy-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 271 468 542 813 1084 1626 2439 3011 3252 3523 4878 6022 7046 9033 9756 10569 12044 14092 18066 21138 27099 31707 36132 39143 42276 54198 63414 78286 108396 117429 126828 156572 234858 352287 469716 704574 815981 1409148 1631962 2447943 3263924 4895886 7343829 9791772 10607753 14687658 21215506 29375316 31823259 42431012 63646518 95469777 127293036 190939554 381879108