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374003740 = 225112179091
BaseRepresentation
bin10110010010101…
…101100000011100
3222001202100200101
4112102231200130
51231221104430
6101040110444
712160656625
oct2622554034
9861670611
10374003740
1118212a600
12a5305424
135c63bab6
1437958a4c
1522c7adca
hex164ad81c

374003740 has 72 divisors (see below), whose sum is σ = 914182416. Its totient is φ = 127987200.

The previous prime is 374003737. The next prime is 374003741. The reversal of 374003740 is 47300473.

It is a junction number, because it is equal to n+sod(n) for n = 374003699 and 374003708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374003741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36595 + ... + 45685.

It is an arithmetic number, because the mean of its divisors is an integer number (12696978).

Almost surely, 2374003740 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 374003740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457091208).

374003740 is an abundant number, since it is smaller than the sum of its proper divisors (540178676).

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

374003740 is a wasteful number, since it uses less digits than its factorization.

374003740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 374003740 is about 19339.1763009700. The cubic root of 374003740 is about 720.4856163242.

The spelling of 374003740 in words is "three hundred seventy-four million, three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 9091 10285 18182 20570 36364 41140 45455 90910 100001 154547 181820 200002 309094 400004 500005 618188 772735 1000010 1100011 1545470 1700017 2000020 2200022 3090940 3400034 4400044 5500055 6800068 8500085 11000110 17000170 18700187 22000220 34000340 37400374 74800748 93500935 187001870 374003740