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373949380 = 225723710313
BaseRepresentation
bin10110010010100…
…000001111000100
3222001122121010001
4112102200033010
51231212340010
6101035011044
712160342300
oct2622401704
9861577101
10373949380
111820a2782
12a5299a84
135c62012c
1437942d00
1522c69c3a
hex164a03c4

373949380 has 72 divisors (see below), whose sum is σ = 938285208. Its totient is φ = 124733952.

The previous prime is 373949363. The next prime is 373949399. The reversal of 373949380 is 83949373.

373949380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 87459904 + 286489476 = 9352^2 + 16926^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 373949380.

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 23 ways as a sum of consecutive naturals, for example, 31104 + ... + 41416.

It is an arithmetic number, because the mean of its divisors is an integer number (13031739).

Almost surely, 2373949380 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 373949380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469142604).

373949380 is an abundant number, since it is smaller than the sum of its proper divisors (564335828).

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

373949380 is a wasteful number, since it uses less digits than its factorization.

373949380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 373949380 is about 19337.7708125833. The cubic root of 373949380 is about 720.4507080317.

The spelling of 373949380 in words is "three hundred seventy-three million, nine hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 7252 9065 10313 18130 20626 36260 41252 51565 72191 103130 144382 206260 288764 360955 381581 505337 721910 763162 1010674 1443820 1526324 1907905 2021348 2526685 2671067 3815810 5053370 5342134 7631620 10106740 10684268 13355335 18697469 26710670 37394938 53421340 74789876 93487345 186974690 373949380