Search a number
-
+
373842 = 23372343
BaseRepresentation
bin1011011010001010010
3200222211000
41123101102
543430332
612002430
73114630
oct1332122
9628730
10373842
11235967
12160416
13101211
149a350
1575b7c
hex5b452

373842 has 64 divisors (see below), whose sum is σ = 1013760. Its totient is φ = 99792.

The previous prime is 373837. The next prime is 373859. The reversal of 373842 is 248373.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4032) is a multiple of the sum of its prime factors (84).

It is an unprimeable number.

373842 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8673 + ... + 8715.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2373842 is an apocalyptic number.

373842 is the 387-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 373842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506880).

373842 is an abundant number, since it is smaller than the sum of its proper divisors (639918).

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

373842 is a wasteful number, since it uses less digits than its factorization.

373842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 373842 is about 611.4262015975. The cubic root of 373842 is about 72.0381742010.

The spelling of 373842 in words is "three hundred seventy-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 43 46 54 63 69 86 126 129 138 161 189 207 258 301 322 378 387 414 483 602 621 774 903 966 989 1161 1242 1449 1806 1978 2322 2709 2898 2967 4347 5418 5934 6923 8127 8694 8901 13846 16254 17802 20769 26703 41538 53406 62307 124614 186921 373842