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100379244 = 22372533221
BaseRepresentation
bin1011111101110…
…10101001101100
320222212210102210
411332322221230
5201144113434
613543250420
72326131600
oct576725154
9228783383
10100379244
1151730459
1229749a10
1317a47304
14d48d500
158c2bee9
hex5fbaa6c

100379244 has 72 divisors (see below), whose sum is σ = 277684848. Its totient is φ = 28129920.

The previous prime is 100379207. The next prime is 100379281. The reversal of 100379244 is 442973001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100379207) and next prime (100379281).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29554 + ... + 32774.

It is an arithmetic number, because the mean of its divisors is an integer number (3856734).

Almost surely, 2100379244 is an apocalyptic number.

100379244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100379244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138842424).

100379244 is an abundant number, since it is smaller than the sum of its proper divisors (177305604).

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

100379244 is a wasteful number, since it uses less digits than its factorization.

100379244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 100379244 is about 10018.9442557587. The cubic root of 100379244 is about 464.7449080685.

Subtracting from 100379244 its product of nonzero digits (6048), we obtain a triangular number (100373196 = T14168).

The spelling of 100379244 in words is "one hundred million, three hundred seventy-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 3221 4452 5194 6442 7791 9663 10388 12884 15582 19326 22547 31164 38652 45094 67641 90188 135282 157829 170713 270564 315658 341426 473487 512139 631316 682852 946974 1024278 1194991 1893948 2048556 2389982 3584973 4779964 7169946 8364937 14339892 16729874 25094811 33459748 50189622 100379244