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378048930 = 235723292699
BaseRepresentation
bin10110100010001…
…001000110100010
3222100100212122020
4112202021012202
51233240031210
6101302522310
712240235320
oct2642110642
9870325566
10378048930
11184442836
12a6736396
13604270bc
14382ccd10
15232c9770
hex168891a2

378048930 has 128 divisors (see below), whose sum is σ = 1119744000. Its totient is φ = 79774464.

The previous prime is 378048929. The next prime is 378048961. The reversal of 378048930 is 39840873.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 138721 + ... + 141419.

It is an arithmetic number, because the mean of its divisors is an integer number (8748000).

Almost surely, 2378048930 is an apocalyptic number.

378048930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378048930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559872000).

378048930 is an abundant number, since it is smaller than the sum of its proper divisors (741695070).

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

378048930 is a wasteful number, since it uses less digits than its factorization.

378048930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 378048930 is about 19443.4803983238. The cubic root of 378048930 is about 723.0738758592.

The spelling of 378048930 in words is "three hundred seventy-eight million, forty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 29 30 35 42 46 58 69 70 87 105 115 138 145 161 174 203 210 230 290 322 345 406 435 483 609 667 690 805 870 966 1015 1218 1334 1610 2001 2030 2415 2699 3045 3335 4002 4669 4830 5398 6090 6670 8097 9338 10005 13495 14007 16194 18893 20010 23345 26990 28014 37786 40485 46690 56679 62077 70035 78271 80970 94465 113358 124154 140070 156542 186231 188930 234813 283395 310385 372462 391355 434539 469626 547897 566790 620770 782710 869078 931155 1095794 1174065 1303617 1643691 1800233 1862310 2172695 2348130 2607234 2739485 3287382 3600466 4345390 5400699 5478970 6518085 8218455 9001165 10801398 12601631 13036170 16436910 18002330 25203262 27003495 37804893 54006990 63008155 75609786 126016310 189024465 378048930