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307879348 = 227211313901
BaseRepresentation
bin10010010110011…
…101110110110100
3210110022220001211
4102112131312310
51112304114343
650314531204
710425634300
oct2226356664
9713286054
10307879348
11148876347
1287136b04
134ba2933a
142cc64d00
151c06879d
hex1259ddb4

307879348 has 36 divisors (see below), whose sum is σ = 632346372. Its totient is φ = 130771200.

The previous prime is 307879343. The next prime is 307879349. The reversal of 307879348 is 843978703.

307879348 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 201129124 = 10332^2 + 14182^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

307879348 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307879343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15198 + ... + 29098.

It is an arithmetic number, because the mean of its divisors is an integer number (17565177).

Almost surely, 2307879348 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 307879348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316173186).

307879348 is an abundant number, since it is smaller than the sum of its proper divisors (324467024).

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

307879348 is a wasteful number, since it uses less digits than its factorization.

307879348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14032 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 307879348 is about 17546.4910452204. The cubic root of 307879348 is about 675.2431482509.

The spelling of 307879348 in words is "three hundred seven million, eight hundred seventy-nine thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 1582 3164 5537 11074 13901 22148 27802 55604 97307 194614 389228 681149 1362298 1570813 2724596 3141626 6283252 10995691 21991382 43982764 76969837 153939674 307879348