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3642441474 = 2371919922937
BaseRepresentation
bin1101100100011011…
…0011111100000010
3100101211220012100210
43121012303330002
524424431111344
61401234054550
7156156145620
oct33106637402
910354805323
103642441474
1115aa077211
12857a1a456
13460820019
14267a7a510
15164b96db9
hexd91b3f02

3642441474 has 64 divisors (see below), whose sum is σ = 8808192000. Its totient is φ = 980926848.

The previous prime is 3642441457. The next prime is 3642441487. The reversal of 3642441474 is 4741442463.

3642441474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147334 + ... + 170270.

It is an arithmetic number, because the mean of its divisors is an integer number (137628000).

Almost surely, 23642441474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642441474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404096000).

3642441474 is an abundant number, since it is smaller than the sum of its proper divisors (5165750526).

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

3642441474 is a wasteful number, since it uses less digits than its factorization.

3642441474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23167.

The product of its digits is 258048, while the sum is 39.

The square root of 3642441474 is about 60352.6426430525. The cubic root of 3642441474 is about 1538.6181839459.

The spelling of 3642441474 in words is "three billion, six hundred forty-two million, four hundred forty-one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 199 266 398 399 597 798 1194 1393 2786 3781 4179 7562 8358 11343 22686 22937 26467 45874 52934 68811 79401 137622 158802 160559 321118 435803 481677 871606 963354 1307409 2614818 3050621 4564463 6101242 9128926 9151863 13693389 18303726 27386778 31951241 63902482 86724797 95853723 173449594 191707446 260174391 520348782 607073579 1214147158 1821220737 3642441474