Search a number
-
+
351480948 = 223713536073
BaseRepresentation
bin10100111100110…
…010110001110100
3220111101002012220
4110330302301310
51204434342243
654513242340
711465352540
oct2474626164
9814332186
10351480948
11170446925
12998633b0
1357a842c0
1434974a20
1520ccc783
hex14f32c74

351480948 has 96 divisors (see below), whose sum is σ = 1028595456. Its totient is φ = 90934272.

The previous prime is 351480947. The next prime is 351480959. The reversal of 351480948 is 849084153.

351480948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351480947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54840 + ... + 60912.

It is an arithmetic number, because the mean of its divisors is an integer number (10714536).

Almost surely, 2351480948 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 351480948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514297728).

351480948 is an abundant number, since it is smaller than the sum of its proper divisors (677114508).

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

351480948 is a wasteful number, since it uses less digits than its factorization.

351480948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 351480948 is about 18747.8251538678. The cubic root of 351480948 is about 705.7224443772.

The spelling of 351480948 in words is "three hundred fifty-one million, four hundred eighty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 53 78 84 91 106 156 159 182 212 273 318 364 371 546 636 689 742 1092 1113 1378 1484 2067 2226 2756 4134 4452 4823 6073 8268 9646 12146 14469 18219 19292 24292 28938 36438 42511 57876 72876 78949 85022 127533 157898 170044 236847 255066 315796 321869 473694 510132 552643 643738 947388 965607 1105286 1287476 1657929 1931214 2210572 2253083 3315858 3862428 4184297 4506166 6631716 6759249 8368594 9012332 12552891 13518498 16737188 25105782 27036996 29290079 50211564 58580158 87870237 117160316 175740474 351480948